Exactness Property of the Exact Absolute Value Penalty Function Method for Solving Convex Nondifferentiable Interval-Valued Optimization Problems
In the paper, the classical exact absolute value function method is used for solving a nondifferentiable constrained interval-valued optimization problem with both inequality and equality constraints. The property of exactness of the penalization for the exact absolute value penalty function method...
Saved in:
| Published in: | Journal of optimization theory and applications Vol. 176; no. 1; pp. 205 - 224 |
|---|---|
| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
New York
Springer US
2018
Springer Nature B.V |
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | In the paper, the classical exact absolute value function method is used for solving a nondifferentiable constrained interval-valued optimization problem with both inequality and equality constraints. The property of exactness of the penalization for the exact absolute value penalty function method is analyzed under assumption that the functions constituting the considered nondifferentiable constrained optimization problem with the interval-valued objective function are convex. The conditions guaranteeing the equivalence of the sets of LU-optimal solutions for the original constrained interval-valued extremum problem and for its associated penalized optimization problem with the interval-valued exact absolute value penalty function are given. |
|---|---|
| AbstractList | In the paper, the classical exact absolute value function method is used for solving a nondifferentiable constrained interval-valued optimization problem with both inequality and equality constraints. The property of exactness of the penalization for the exact absolute value penalty function method is analyzed under assumption that the functions constituting the considered nondifferentiable constrained optimization problem with the interval-valued objective function are convex. The conditions guaranteeing the equivalence of the sets of LU-optimal solutions for the original constrained interval-valued extremum problem and for its associated penalized optimization problem with the interval-valued exact absolute value penalty function are given. |
| Author | Antczak, T. |
| Author_xml | – sequence: 1 givenname: T. surname: Antczak fullname: Antczak, T. email: antczak@math.uni.lodz.pl organization: Faculty of Mathematics and Computer Science, University of Łódź |
| BookMark | eNp1kMFOAjEQhhujiYg-gLcmnqttl6XboyGgJKgkEq9Nt52FNUuLbZeIb-Ebu4AHL57mMN__Tea_QKfOO0DomtFbRqm4i4zKXBDKBGGcDgg_QT2Wi4zwQhSnqEcp5yTjmTxHFzG-U0plIQY99D3-1CY5iBHPg99ASDvsK5xWgA8bfF9G37QJ8JtuWsBzcLrpmEnrTKq9w0-QVt7iygf86ptt7ZZ45N0WPvGzd7auKgjgUq3LBvDUJQhb3ZCDy-KXTarX9Zc-iLrzHbOOl-is0k2Eq9_ZR4vJeDF6JLOXh-nofkZMlstEgAGw0oqcsWFRAs0tL4zU1hiW22pgIM84rSATwhgrobB8UFidlQC0ZEOd9dHNUbsJ_qOFmNS7b0P3XFRMCimEYEPZUexImeBjDFCpTajXOuwUo2pfvDoWr7ri1b54xbsMP2Zix7olhD_mf0M_LuuL8Q |
| CitedBy_id | crossref_primary_10_1080_00207543_2022_2037778 crossref_primary_10_1002_qre_2662 crossref_primary_10_1002_oca_3043 crossref_primary_10_1051_ro_2019019 crossref_primary_10_1186_s13660_019_2002_1 crossref_primary_10_37394_23206_2024_23_44 crossref_primary_10_1080_00207179_2019_1661523 crossref_primary_10_1080_00207179_2020_1759827 crossref_primary_10_1080_02331934_2022_2069569 crossref_primary_10_1016_j_neunet_2024_106337 crossref_primary_10_1016_j_orl_2022_08_010 crossref_primary_10_1007_s00500_022_07459_0 crossref_primary_10_1016_j_neunet_2023_01_012 crossref_primary_10_1016_j_fss_2020_06_016 |
| Cites_doi | 10.1515/9781400873173 10.1016/j.joems.2013.07.002 10.1186/1029-242X-2013-313 10.1007/s11750-009-0099-y 10.1007/s40840-015-0237-7 10.1007/978-1-4612-1025-2 10.1137/0327068 10.1287/moor.6.3.333 10.1166/asl.2012.2694 10.1007/s10700-013-9156-y 10.1002/9781118723203 10.1016/j.ejor.2007.03.031 10.1007/s40305-016-0120-8 10.1111/j.1475-3995.2009.00737.x 10.1016/j.ejor.2005.09.007 10.1007/BF01609033 10.3934/jimo.2013.9.131 10.1016/j.ejor.2008.07.031 10.1287/mnsc.13.5.344 10.1137/0323003 10.1016/0377-2217(93)E0339-Y 10.1016/0377-2217(90)90375-L 10.1007/BF01071708 10.1016/0377-2217(95)00055-0 10.1007/s10957-008-9396-0 10.1007/BF01580117 10.1007/978-3-662-05078-1 10.1109/CSO.2010.157 10.1155/2013/641345 10.1007/978-3-642-36062-6_46 |
| ContentType | Journal Article |
| Copyright | The Author(s) 2017 Journal of Optimization Theory and Applications is a copyright of Springer, (2017). All Rights Reserved. |
| Copyright_xml | – notice: The Author(s) 2017 – notice: Journal of Optimization Theory and Applications is a copyright of Springer, (2017). All Rights Reserved. |
| DBID | C6C AAYXX CITATION 3V. 7SC 7TB 7WY 7WZ 7XB 87Z 88I 8AO 8FD 8FE 8FG 8FK 8FL 8G5 ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FR3 FRNLG F~G GNUQQ GUQSH HCIFZ JQ2 K60 K6~ K7- KR7 L.- L6V L7M L~C L~D M0C M2O M2P M7S MBDVC P5Z P62 PQBIZ PQBZA PQEST PQQKQ PQUKI PRINS PTHSS Q9U |
| DOI | 10.1007/s10957-017-1204-2 |
| DatabaseName | SpringerOpen CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts ABI/INFORM Collection ABI/INFORM Global (PDF only) ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Science Database (Alumni Edition) ProQuest Pharma Collection Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni Edition) Research Library (Alumni Edition) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central Business Premium Collection Technology Collection ProQuest One Community College ProQuest Central Korea Engineering Research Database Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student Research Library Prep SciTech Premium Collection ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database Civil Engineering Abstracts ABI/INFORM Professional Advanced ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ABI/INFORM Global Research Library Science Database Engineering Database Research Library (Corporate) Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection One Business (ProQuest) ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef ProQuest Business Collection (Alumni Edition) Research Library Prep Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts SciTech Premium Collection ProQuest Central China ABI/INFORM Complete Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest Business Collection ProQuest One Academic UKI Edition Engineering Research Database ProQuest One Academic ABI/INFORM Global (Corporate) ProQuest One Business Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Central (Alumni Edition) ProQuest One Community College Research Library (Alumni Edition) ProQuest Pharma Collection ProQuest Central ABI/INFORM Professional Advanced ProQuest Engineering Collection ProQuest Central Korea ProQuest Research Library Advanced Technologies Database with Aerospace ABI/INFORM Complete (Alumni Edition) Civil Engineering Abstracts ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest Central (Alumni) Business Premium Collection (Alumni) |
| DatabaseTitleList | ProQuest Business Collection (Alumni Edition) |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Mathematics |
| EISSN | 1573-2878 |
| EndPage | 224 |
| ExternalDocumentID | 10_1007_s10957_017_1204_2 |
| GroupedDBID | -52 -5D -5G -BR -EM -Y2 -~C -~X .4S .86 .DC .VR 06D 0VY 199 1N0 1SB 2.D 203 28- 29L 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 3V. 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 78A 7WY 88I 8AO 8FE 8FG 8FL 8G5 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AABYN AAFGU AAHNG AAIAL AAJKR AANZL AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO ABBBX ABBXA ABDZT ABECU ABFGW ABFTV ABHLI ABHQN ABJCF ABJNI ABJOX ABKAS ABKCH ABKTR ABMNI ABMQK ABNWP ABPTK ABQBU ABSXP ABTAH ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACBMV ACBRV ACBXY ACBYP ACGFS ACGOD ACHSB ACHXU ACIGE ACIPQ ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACTTH ACVWB ACWMK ADHHG ADHIR ADINQ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEEQQ AEFIE AEFTE AEGAL AEGNC AEJHL AEJRE AEKMD AENEX AEOHA AEPOP AEPYU AESKC AESTI AETLH AEVLU AEVTX AEXYK AFEXP AFGCZ AFKRA AFLOW AFMKY AFNRJ AFQWF AFWTZ AFZKB AGAYW AGDGC AGGBP AGGDS AGJBK AGMZJ AGPAZ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AI. AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARCSS ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN AZQEC B-. BA0 BAPOH BBWZM BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ C6C CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 DWQXO EBLON EBS EDO EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC G8K GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GQ8 GROUPED_ABI_INFORM_COMPLETE GROUPED_ABI_INFORM_RESEARCH GUQSH GXS HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF H~9 I-F I09 IHE IJ- IKXTQ ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K60 K6V K6~ K7- KDC KOV KOW L6V LAK LLZTM M0C M2O M2P M4Y M7S MA- N2Q N9A NB0 NDZJH NPVJJ NQJWS NU0 O93 O9G O9I O9J OAM OVD P19 P2P P62 P9R PF0 PQBIZ PQQKQ PROAC PT4 PT5 PTHSS Q2X QOK QOS R4E R89 R9I RHV RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SDD SDH SDM SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TN5 TSG TSK TSV TUC TUS TWZ U2A UG4 UNUBA UOJIU UTJUX UZXMN VC2 VFIZW VH1 VOH W23 W48 WH7 WK8 YLTOR YQT Z45 Z7R Z7S Z7U Z7X Z7Y Z7Z Z81 Z83 Z86 Z88 Z8M Z8N Z8R Z8S Z8T Z8U Z8W Z92 ZCG ZMTXR ZWQNP ZY4 ~EX 0R~ AACDK AAEOY AAJBT AASML AAYXX AAYZH ABAKF ABDPE ACAOD ACDTI ACZOJ AEARS AEFQL AEMSY AFBBN AGQEE AGRTI AIGIU CITATION H13 PQBZA 7SC 7TB 7XB 8FD 8FK FR3 JQ2 KR7 L.- L7M L~C L~D MBDVC PQEST PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c359t-e1ee1bd751168be05d28c9adcc15df4ce5320fe377ccd9e8d248da3bee0b16a3 |
| IEDL.DBID | AEJHL |
| ISSN | 0022-3239 |
| IngestDate | Thu Oct 10 16:11:23 EDT 2024 Fri Nov 22 00:46:49 EST 2024 Sat Dec 16 12:08:07 EST 2023 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Exact absolute value penalty function method 49M30 90C30 90C25 Interval-valued optimization problem Exactness of the exact absolute value penalty function method Penalized optimization problem with the interval-valued exact absolute value penalty function LU-convex function |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c359t-e1ee1bd751168be05d28c9adcc15df4ce5320fe377ccd9e8d248da3bee0b16a3 |
| OpenAccessLink | http://link.springer.com/10.1007/s10957-017-1204-2 |
| PQID | 1979777169 |
| PQPubID | 48247 |
| PageCount | 20 |
| ParticipantIDs | proquest_journals_1979777169 crossref_primary_10_1007_s10957_017_1204_2 springer_journals_10_1007_s10957_017_1204_2 |
| PublicationCentury | 2000 |
| PublicationDate | 1-2018 2018-1-00 20180101 |
| PublicationDateYYYYMMDD | 2018-01-01 |
| PublicationDate_xml | – year: 2018 text: 1-2018 |
| PublicationDecade | 2010 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York |
| PublicationTitle | Journal of optimization theory and applications |
| PublicationTitleAbbrev | J Optim Theory Appl |
| PublicationYear | 2018 |
| Publisher | Springer US Springer Nature B.V |
| Publisher_xml | – name: Springer US – name: Springer Nature B.V |
| References | Ahmad, Jayswal, Banerjee (CR3) 2013; 2013 Nocedal, Wright (CR34) 2006 Clarke (CR40) 1983 Sun, Wang (CR8) 2013; 9 Steuer (CR11) 1981; 6 Alefeld, Herzberger (CR38) 1983 Wu (CR1) 2007; 176 CR36 Charalambous (CR27) 1978; 15 Ishibuchi, Tanaka (CR12) 1990; 48 Eremin (CR19) 1967; 3 Peressini, Sullivan, Uhl (CR35) 1988 Sun, Wang (CR7) 2012; 7 Di Pillo, Grippo (CR28) 1989; 27 Jayswal, Ahmad, Banerjee (CR5) 2016; 39 Zangwill (CR20) 1967; 13 Zhou, Wang (CR10) 2009; 62 Hladík (CR16) 2011; 19 Mongeau, Sartenaer (CR33) 1995; 83 Mangasarian (CR32) 1985; 23 Chanas, Kuchta (CR13) 1996; 94 Chankong, Haimes (CR41) 1983 Bertsekas (CR24) 1982 CR6 Wu (CR2) 2008; 138 Gabrel, Murat, Remli (CR15) 2010; 17 Fletcher (CR30) 2000 CR9 CR25 Janesch, Santos (CR31) 1997; 7 Jayswal, Stancu-Minasian, Ahmad (CR4) 2011; 218 CR22 Chalco-Cano, Lodwick, Rufian-Lizana (CR17) 2013; 12 Karmakar, Bhunia (CR18) 2014; 22 Bazaraa, Sherali, Shetty (CR23) 1991 Miettinen (CR42) 2004 Fletcher (CR29) 1973; 5 Jiang, Han, Liu, Liu (CR14) 2008; 188 Bonnans, Gilbert, Lemaréchal, Sagastizábal (CR26) 2003 Antczak (CR21) 2009; 198 Jayswal, Banerjee (CR37) 2016; 4 Rockafellar (CR39) 1970 Y Sun (1204_CR7) 2012; 7 KM Miettinen (1204_CR42) 2004 Y Chalco-Cano (1204_CR17) 2013; 12 R Fletcher (1204_CR30) 2000 C Charalambous (1204_CR27) 1978; 15 HC Wu (1204_CR1) 2007; 176 S Chanas (1204_CR13) 1996; 94 Y Sun (1204_CR8) 2013; 9 OL Mangasarian (1204_CR32) 1985; 23 A Jayswal (1204_CR4) 2011; 218 J Nocedal (1204_CR34) 2006 G Pillo Di (1204_CR28) 1989; 27 1204_CR6 1204_CR9 MS Bazaraa (1204_CR23) 1991 M Mongeau (1204_CR33) 1995; 83 WI Zangwill (1204_CR20) 1967; 13 T Antczak (1204_CR21) 2009; 198 S Karmakar (1204_CR18) 2014; 22 1204_CR25 R Fletcher (1204_CR29) 1973; 5 C Jiang (1204_CR14) 2008; 188 RT Rockafellar (1204_CR39) 1970 FH Clarke (1204_CR40) 1983 M Hladík (1204_CR16) 2011; 19 SMH Janesch (1204_CR31) 1997; 7 1204_CR22 HC Wu (1204_CR2) 2008; 138 G Alefeld (1204_CR38) 1983 RE Steuer (1204_CR11) 1981; 6 JF Bonnans (1204_CR26) 2003 DP Bertsekas (1204_CR24) 1982 HC Zhou (1204_CR10) 2009; 62 V Chankong (1204_CR41) 1983 A Jayswal (1204_CR5) 2016; 39 I Ahmad (1204_CR3) 2013; 2013 H Ishibuchi (1204_CR12) 1990; 48 II Eremin (1204_CR19) 1967; 3 A Jayswal (1204_CR37) 2016; 4 1204_CR36 AL Peressini (1204_CR35) 1988 V Gabrel (1204_CR15) 2010; 17 |
| References_xml | – year: 1970 ident: CR39 publication-title: Convex Analysis doi: 10.1515/9781400873173 contributor: fullname: Rockafellar – volume: 22 start-page: 292 year: 2014 end-page: 303 ident: CR18 article-title: An alternative optimization technique for interval objective constrained optimization problems via multiobjective programming publication-title: J. Egypt. Math. Soc. doi: 10.1016/j.joems.2013.07.002 contributor: fullname: Bhunia – ident: CR22 – volume: 2013 start-page: 313 year: 2013 ident: CR3 article-title: On interval-valued optimization problems with generalized invex functions publication-title: J. Inequal. Appl. doi: 10.1186/1029-242X-2013-313 contributor: fullname: Banerjee – volume: 19 start-page: 93 year: 2011 end-page: 106 ident: CR16 article-title: Optimal value bounds in nonlinear programming with interval data publication-title: TOP doi: 10.1007/s11750-009-0099-y contributor: fullname: Hladík – volume: 39 start-page: 1391 year: 2016 end-page: 1411 ident: CR5 article-title: Nonsmooth interval-valued optimization and saddle-point optimality criteria publication-title: Bull. Malays. Math. Sci. Soc. doi: 10.1007/s40840-015-0237-7 contributor: fullname: Banerjee – year: 1982 ident: CR24 publication-title: Constrained Optimization and Lagrange Multiplier Methods contributor: fullname: Bertsekas – volume: 7 start-page: 55 year: 1997 end-page: 65 ident: CR31 article-title: Exact penalty methods with constrained subproblems publication-title: Invest. Oper. contributor: fullname: Santos – year: 1988 ident: CR35 publication-title: The Mathematics of Nonlinear Programming doi: 10.1007/978-1-4612-1025-2 contributor: fullname: Uhl – year: 2006 ident: CR34 publication-title: Numerical Optimization contributor: fullname: Wright – volume: 27 start-page: 1333 year: 1989 end-page: 1360 ident: CR28 article-title: Exact penalty functions in constrained optimization publication-title: SIAM J. Control Optim. doi: 10.1137/0327068 contributor: fullname: Grippo – volume: 6 start-page: 333 year: 1981 end-page: 348 ident: CR11 article-title: Algorithms for linear programming problems with interval objective function coefficients publication-title: Math. Oper. Res. doi: 10.1287/moor.6.3.333 contributor: fullname: Steuer – ident: CR6 – volume: 7 start-page: 643 year: 2012 end-page: 646 ident: CR7 article-title: Duality theory for interval-valued programming publication-title: Adv. Sci. Lett. doi: 10.1166/asl.2012.2694 contributor: fullname: Wang – year: 1983 ident: CR40 publication-title: Optimization and Nonsmooth Analysis contributor: fullname: Clarke – volume: 12 start-page: 305 year: 2013 end-page: 322 ident: CR17 article-title: Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative publication-title: Fuzzy Optim. Decis. Mak. doi: 10.1007/s10700-013-9156-y contributor: fullname: Rufian-Lizana – year: 2000 ident: CR30 publication-title: Practical Methods of Optimization doi: 10.1002/9781118723203 contributor: fullname: Fletcher – volume: 188 start-page: 1 year: 2008 end-page: 13 ident: CR14 article-title: A nonlinear interval number programming method for uncertain optimization problems publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2007.03.031 contributor: fullname: Liu – ident: CR25 – year: 1983 ident: CR38 publication-title: Introduction to Interval Computations contributor: fullname: Herzberger – year: 2004 ident: CR42 publication-title: Nonlinear Multiobjective Optimization. International Series in Operations Research & Management Science contributor: fullname: Miettinen – year: 2003 ident: CR26 publication-title: Numerical Optimization. Theoretical and Practical Aspects contributor: fullname: Sagastizábal – volume: 4 start-page: 461 year: 2016 end-page: 481 ident: CR37 article-title: An exact penalty approach for interval-valued programming problem publication-title: J. Oper. Res. Soc. China doi: 10.1007/s40305-016-0120-8 contributor: fullname: Banerjee – volume: 62 start-page: 1315 year: 2009 end-page: 1323 ident: CR10 article-title: Optimality condition and mixed duality for interval-valued optimization publication-title: Fuzzy Inf. Eng. AISC contributor: fullname: Wang – volume: 17 start-page: 397 year: 2010 end-page: 408 ident: CR15 article-title: Linear programming with interval right hand sides publication-title: Int. Trans. Oper. Res. doi: 10.1111/j.1475-3995.2009.00737.x contributor: fullname: Remli – volume: 176 start-page: 46 year: 2007 end-page: 59 ident: CR1 article-title: The Karush–Kuhn–Tucker optimality conditions in an optimization problem with interval-valued objective function publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2005.09.007 contributor: fullname: Wu – volume: 15 start-page: 278 year: 1978 end-page: 290 ident: CR27 article-title: A lower bound for the controlling parameters of the exact penalty functions publication-title: Math. Program. doi: 10.1007/BF01609033 contributor: fullname: Charalambous – volume: 9 start-page: 131 year: 2013 end-page: 142 ident: CR8 article-title: Optimality conditions and duality in nondifferentiable interval-valued programming publication-title: J. Ind. Manag. Optim. doi: 10.3934/jimo.2013.9.131 contributor: fullname: Wang – volume: 198 start-page: 29 year: 2009 end-page: 36 ident: CR21 article-title: Exact penalty functions method for mathematical programming problems involving invex functions publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2008.07.031 contributor: fullname: Antczak – volume: 13 start-page: 344 year: 1967 end-page: 358 ident: CR20 article-title: Nonlinear programming via penalty functions publication-title: Manag. Sci. doi: 10.1287/mnsc.13.5.344 contributor: fullname: Zangwill – volume: 23 start-page: 30 year: 1985 end-page: 37 ident: CR32 article-title: Sufficiency of exact penalty minimization publication-title: SIAM J. Control Optim. doi: 10.1137/0323003 contributor: fullname: Mangasarian – volume: 83 start-page: 686 year: 1995 end-page: 699 ident: CR33 article-title: Automatic decrease of the penalty parameter in exact penalty function methods publication-title: Eur. J. Oper. Res. doi: 10.1016/0377-2217(93)E0339-Y contributor: fullname: Sartenaer – year: 1983 ident: CR41 publication-title: Multiobjective Decision Making; Theory and Methodology contributor: fullname: Haimes – volume: 48 start-page: 219 year: 1990 end-page: 225 ident: CR12 article-title: Multiobjective programming in optimization of the interval objective function publication-title: Eur. J. Oper. Res. doi: 10.1016/0377-2217(90)90375-L contributor: fullname: Tanaka – ident: CR9 – volume: 218 start-page: 4119 year: 2011 end-page: 4127 ident: CR4 article-title: On sufficiency and duality for a class of interval-valued programming problems publication-title: Appl. Math. Comput. contributor: fullname: Ahmad – ident: CR36 – volume: 3 start-page: 53 year: 1967 end-page: 56 ident: CR19 article-title: The penalty method in convex programming publication-title: Cybern. Syst. Anal. doi: 10.1007/BF01071708 contributor: fullname: Eremin – volume: 94 start-page: 594 year: 1996 end-page: 598 ident: CR13 article-title: Multiobjective programming in optimization of interval objective functions-a generalized approach publication-title: Eur. J. Oper. Res. doi: 10.1016/0377-2217(95)00055-0 contributor: fullname: Kuchta – year: 1991 ident: CR23 publication-title: Nonlinear Programming: Theory and Algorithms contributor: fullname: Shetty – volume: 138 start-page: 497 year: 2008 end-page: 509 ident: CR2 article-title: Wolfe duality for interval-valued optimization publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-008-9396-0 contributor: fullname: Wu – volume: 5 start-page: 129 year: 1973 end-page: 150 ident: CR29 article-title: An exact penalty function for nonlinear programming with inequalities publication-title: Math. Program. doi: 10.1007/BF01580117 contributor: fullname: Fletcher – volume: 5 start-page: 129 year: 1973 ident: 1204_CR29 publication-title: Math. Program. doi: 10.1007/BF01580117 contributor: fullname: R Fletcher – volume: 94 start-page: 594 year: 1996 ident: 1204_CR13 publication-title: Eur. J. Oper. Res. doi: 10.1016/0377-2217(95)00055-0 contributor: fullname: S Chanas – volume: 27 start-page: 1333 year: 1989 ident: 1204_CR28 publication-title: SIAM J. Control Optim. doi: 10.1137/0327068 contributor: fullname: G Pillo Di – volume-title: Multiobjective Decision Making; Theory and Methodology year: 1983 ident: 1204_CR41 contributor: fullname: V Chankong – volume: 83 start-page: 686 year: 1995 ident: 1204_CR33 publication-title: Eur. J. Oper. Res. doi: 10.1016/0377-2217(93)E0339-Y contributor: fullname: M Mongeau – volume-title: Convex Analysis year: 1970 ident: 1204_CR39 doi: 10.1515/9781400873173 contributor: fullname: RT Rockafellar – volume: 176 start-page: 46 year: 2007 ident: 1204_CR1 publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2005.09.007 contributor: fullname: HC Wu – volume: 62 start-page: 1315 year: 2009 ident: 1204_CR10 publication-title: Fuzzy Inf. Eng. AISC contributor: fullname: HC Zhou – volume: 188 start-page: 1 year: 2008 ident: 1204_CR14 publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2007.03.031 contributor: fullname: C Jiang – volume-title: Numerical Optimization. Theoretical and Practical Aspects year: 2003 ident: 1204_CR26 doi: 10.1007/978-3-662-05078-1 contributor: fullname: JF Bonnans – volume: 7 start-page: 55 year: 1997 ident: 1204_CR31 publication-title: Invest. Oper. contributor: fullname: SMH Janesch – volume: 4 start-page: 461 year: 2016 ident: 1204_CR37 publication-title: J. Oper. Res. Soc. China doi: 10.1007/s40305-016-0120-8 contributor: fullname: A Jayswal – volume-title: Practical Methods of Optimization year: 2000 ident: 1204_CR30 doi: 10.1002/9781118723203 contributor: fullname: R Fletcher – volume: 218 start-page: 4119 year: 2011 ident: 1204_CR4 publication-title: Appl. Math. Comput. contributor: fullname: A Jayswal – volume: 138 start-page: 497 year: 2008 ident: 1204_CR2 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-008-9396-0 contributor: fullname: HC Wu – volume-title: The Mathematics of Nonlinear Programming year: 1988 ident: 1204_CR35 doi: 10.1007/978-1-4612-1025-2 contributor: fullname: AL Peressini – volume: 2013 start-page: 313 year: 2013 ident: 1204_CR3 publication-title: J. Inequal. Appl. doi: 10.1186/1029-242X-2013-313 contributor: fullname: I Ahmad – volume: 198 start-page: 29 year: 2009 ident: 1204_CR21 publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2008.07.031 contributor: fullname: T Antczak – volume-title: Constrained Optimization and Lagrange Multiplier Methods year: 1982 ident: 1204_CR24 contributor: fullname: DP Bertsekas – volume: 13 start-page: 344 year: 1967 ident: 1204_CR20 publication-title: Manag. Sci. doi: 10.1287/mnsc.13.5.344 contributor: fullname: WI Zangwill – volume: 6 start-page: 333 year: 1981 ident: 1204_CR11 publication-title: Math. Oper. Res. doi: 10.1287/moor.6.3.333 contributor: fullname: RE Steuer – volume: 17 start-page: 397 year: 2010 ident: 1204_CR15 publication-title: Int. Trans. Oper. Res. doi: 10.1111/j.1475-3995.2009.00737.x contributor: fullname: V Gabrel – volume-title: Nonlinear Multiobjective Optimization. International Series in Operations Research & Management Science year: 2004 ident: 1204_CR42 contributor: fullname: KM Miettinen – ident: 1204_CR36 doi: 10.1109/CSO.2010.157 – ident: 1204_CR6 – ident: 1204_CR25 – volume: 15 start-page: 278 year: 1978 ident: 1204_CR27 publication-title: Math. Program. doi: 10.1007/BF01609033 contributor: fullname: C Charalambous – volume: 12 start-page: 305 year: 2013 ident: 1204_CR17 publication-title: Fuzzy Optim. Decis. Mak. doi: 10.1007/s10700-013-9156-y contributor: fullname: Y Chalco-Cano – volume: 39 start-page: 1391 year: 2016 ident: 1204_CR5 publication-title: Bull. Malays. Math. Sci. Soc. doi: 10.1007/s40840-015-0237-7 contributor: fullname: A Jayswal – volume-title: Numerical Optimization year: 2006 ident: 1204_CR34 contributor: fullname: J Nocedal – volume: 23 start-page: 30 year: 1985 ident: 1204_CR32 publication-title: SIAM J. Control Optim. doi: 10.1137/0323003 contributor: fullname: OL Mangasarian – volume: 48 start-page: 219 year: 1990 ident: 1204_CR12 publication-title: Eur. J. Oper. Res. doi: 10.1016/0377-2217(90)90375-L contributor: fullname: H Ishibuchi – volume: 9 start-page: 131 year: 2013 ident: 1204_CR8 publication-title: J. Ind. Manag. Optim. doi: 10.3934/jimo.2013.9.131 contributor: fullname: Y Sun – volume-title: Nonlinear Programming: Theory and Algorithms year: 1991 ident: 1204_CR23 contributor: fullname: MS Bazaraa – volume: 22 start-page: 292 year: 2014 ident: 1204_CR18 publication-title: J. Egypt. Math. Soc. doi: 10.1016/j.joems.2013.07.002 contributor: fullname: S Karmakar – volume: 3 start-page: 53 year: 1967 ident: 1204_CR19 publication-title: Cybern. Syst. Anal. doi: 10.1007/BF01071708 contributor: fullname: II Eremin – volume: 19 start-page: 93 year: 2011 ident: 1204_CR16 publication-title: TOP doi: 10.1007/s11750-009-0099-y contributor: fullname: M Hladík – volume-title: Introduction to Interval Computations year: 1983 ident: 1204_CR38 contributor: fullname: G Alefeld – ident: 1204_CR9 doi: 10.1155/2013/641345 – volume-title: Optimization and Nonsmooth Analysis year: 1983 ident: 1204_CR40 contributor: fullname: FH Clarke – volume: 7 start-page: 643 year: 2012 ident: 1204_CR7 publication-title: Adv. Sci. Lett. doi: 10.1166/asl.2012.2694 contributor: fullname: Y Sun – ident: 1204_CR22 doi: 10.1007/978-3-642-36062-6_46 |
| SSID | ssj0009874 |
| Score | 2.3132837 |
| Snippet | In the paper, the classical exact absolute value function method is used for solving a nondifferentiable constrained interval-valued optimization problem with... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Publisher |
| StartPage | 205 |
| SubjectTerms | Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Engineering Mathematical programming Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Penalty function Queuing theory Theory of Computation |
| Title | Exactness Property of the Exact Absolute Value Penalty Function Method for Solving Convex Nondifferentiable Interval-Valued Optimization Problems |
| URI | https://link.springer.com/article/10.1007/s10957-017-1204-2 https://www.proquest.com/docview/1979777169 |
| Volume | 176 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELagLDDwRhQK8sAEMortPMdSWhVESyUQYosc-7JQUtSHVH4G_5hzmrQFwQBTFNm5RL7L3eez_R0hZ9J3pAQlWep6LnO5k7DQ04YFwP3AN8bX-Zb_9kPQfQ6vm5YmR8xTF9nLZbkimTvqpbNukWd3SQaMC8dl6HbXMPR4aNtr9eZt-25BtRuW3MuCSSGjci3zJyFfo9ECYn5bFc2DTWvrP5-5TTYLaEnrM1vYISuQ7ZKNJcJBvOvMWVpHe-SjOVV6bH0d7dmc_HD8TgcpxR40b6H1JLdMoE-qPwHaA5SPfVoYC60-aScvP00R99KHQd-mJmjD7mKf0u4gK0uvoAtJ-kDz1COaNctlGXqPvuq1OARqX2_L2oz2yWOr-dhos6JEA9PSi8YMOABPTICwzQ8TcDwjQh0pozX3TOpqsHUnUpBBoLWJIDTCDY2SCYCTcF_JA1LJBhkcEqocR4OTpkIoz8UHlEp1hGAGZ8su176pkvNSU_HbjIgjXlAu20GPcdBjO-ixqJJaqcu4-CdHMY8CBLuWHahKLkrlLTX_JuzoT72PyTpiqnCWpamRyng4gROyOjKT08JQ8dq66V71PgET-ubk |
| link.rule.ids | 315,782,786,27933,27934,41073,42142,48344,48347,48357,49649,49652,49662,52153 |
| linkProvider | Springer Nature |
| linkToHtml | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1NTxsxEB2V5AAcSkupSJuCDz2BLK3t_TxGkCgVJCARITitvPbsKU0QSST4Gfxjxs5uExA9wHFl7-xqZnb8djx-A_BbxYFSqBUvwyjkoQgKnkbG8gRFnMTWxsaX_PevkuFNetp1NDmqPgvjq93rLUkfqdcOu2WRK5NMuJBByCnuNh3ZuWxAs3Nze3u64tpNa_JlyZVUWb2Z-ZaQl8vRCmO-2hb1q01v50Pv-QU-V-CSdZbe8BU-4WQXttcoB-lq8I-ndfYNnroP2sxdtGOXLit_P39k05LRDOZHWKfwvonsWo8XyC6R5NOcHq2GzqJs4BtQM0K-7Go6dskJduLq2B_YcDqpm69QECnGyHzykRybe1mWXVC0-lsdA3WPd41tZnsw6nVHJ31eNWngRkXZnKNAFIVNCLjFaYFBZGVqMm2NEZEtQ4Ou80SJKkmMsRmmVoap1apADAoRa_UdGpPpBPeB6SAwGJSllDoK6QatS5MRnKH_5VCY2LbgqDZVfrek4shXpMtO6TkpPXdKz2UL2rUx8-qrnOUiSwjuOn6gFhzXxlsb_p-wH--afQib_dHgPD__Mzz7CVuEsNJlzqYNjfn9An_BxswuDiqvfQb56emE |
| linkToPdf | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT9wwEB7RRULtoTyrbkvBB04gizh2XqdqBRtAwLISK8QtcuzJaZtFbFaiP6P_uONs0l1QOSCOkZ1J5JmMv4xnvgE4kKEnJWrJCxUoroSX8zgwlkcowii0NjR1yv_5bTS4j0_7jibnZ1sLU2e7t0eS85oGx9JUVscPtjheKnxLApcyGXHhe4qTD151UTHVgdXexegsXfDuxi0Rs8-lL5P2YPN_Qp5vTQu8-eKItN550vV3v_MGfG5AJ-vNrWQTVrDcgk9LVIR0df2Pv3W6DX_6T9pUzguyoYvWP1a_2aRgNIPVI6yX1zaL7E6PZ8iGSPJpTkq7pNM0u64bUzNCxOx2MnZBC3bi8tuf2GBStk1ZyLnkY2R1UJIMnteyLLshL_arKQ91j3cNb6Y7MEr7o5Nz3jRv4EYGScVRIIrcRgTowjhHL7B-bBJtjRGBLZRB15GiQBlFxtgEY-ur2GqZI3q5CLX8Ap1yUuJXYNrzDHpF4fs6UHSD1oVJCObQf7QSJrRdOGzVlj3MKTqyBRmzW_SMFj1zi575XdhtFZs1X-s0E0lEMNjxBnXhqFXk0vBrwr69afY-rA1P0-zqYnD5HT4S8IrnoZxd6FSPM_wBH6Z2ttcY8F9xCvIb |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Exactness+Property+of+the+Exact+Absolute+Value+Penalty+Function+Method+for+Solving+Convex+Nondifferentiable+Interval-Valued+Optimization+Problems&rft.jtitle=Journal+of+optimization+theory+and+applications&rft.au=Antczak%2C+T.&rft.date=2018-01-01&rft.pub=Springer+US&rft.issn=0022-3239&rft.eissn=1573-2878&rft.volume=176&rft.issue=1&rft.spage=205&rft.epage=224&rft_id=info:doi/10.1007%2Fs10957-017-1204-2&rft.externalDocID=10_1007_s10957_017_1204_2 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-3239&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-3239&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-3239&client=summon |