Fixed Point Theory Analysis of a Lambda Policy Iteration with Randomization for the \'Ciri\'c Contraction Operator
We apply methods of the fixed point theory to a Lambda policy iteration with a randomization algorithm for weak contractions mappings. This type of mappings covers a broader range than the strong contractions typically considered in the literature, such as \'Ciri\'c contraction. Specifical...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Journal Article |
| Language: | English |
| Published: |
13-05-2024
|
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | We apply methods of the fixed point theory to a Lambda policy iteration with
a randomization algorithm for weak contractions mappings. This type of mappings
covers a broader range than the strong contractions typically considered in the
literature, such as \'Ciri\'c contraction. Specifically, we explore the
characteristics of reinforcement learning procedures developed for feedback
control within the context of fixed point theory. Under relatively general
assumptions, we identify the sufficient conditions for convergence with a
probability of one in infinite-dimensional policy spaces. |
|---|---|
| AbstractList | We apply methods of the fixed point theory to a Lambda policy iteration with
a randomization algorithm for weak contractions mappings. This type of mappings
covers a broader range than the strong contractions typically considered in the
literature, such as \'Ciri\'c contraction. Specifically, we explore the
characteristics of reinforcement learning procedures developed for feedback
control within the context of fixed point theory. Under relatively general
assumptions, we identify the sufficient conditions for convergence with a
probability of one in infinite-dimensional policy spaces. |
| Author | Belhenniche, Abdelkader Chertovskih, Roman |
| Author_xml | – sequence: 1 givenname: Abdelkader surname: Belhenniche fullname: Belhenniche, Abdelkader – sequence: 2 givenname: Roman surname: Chertovskih fullname: Chertovskih, Roman |
| BackLink | https://doi.org/10.48550/arXiv.2405.07824$$DView paper in arXiv |
| BookMark | eNotj01LwzAYx3PQw5x-gJ18bju1pmnTl-MoTgeFifQ4KE-TlAbaZKRBVz-9rvP0h_8b_B7InbFGEbKJaJjknNMXdBf9FbKE8pBmOUtWxO31RUn4sNp4qHtl3Qw7g8M86QlsBwgVjq3Ev8agxQwHrxx6bQ18a9_DJxppR_1zszrrwPcKTttSO33aCiit8Q7Fkh7P16l1j-S-w2FST_-6JvX-tS7fg-r4dih3VYBplgSKyogVirYyb1vBBZep4EyJiGKKieAZFaxDVJkSRcaKKJZcYNpSpDEruOTxmjzfbhfo5uz0iG5urvDNAh__AmWcWB0 |
| ContentType | Journal Article |
| Copyright | http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
| Copyright_xml | – notice: http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
| DBID | AKZ GOX |
| DOI | 10.48550/arxiv.2405.07824 |
| DatabaseName | arXiv Mathematics arXiv.org |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: GOX name: arXiv.org url: http://arxiv.org/find sourceTypes: Open Access Repository |
| DeliveryMethod | fulltext_linktorsrc |
| ExternalDocumentID | 2405_07824 |
| GroupedDBID | AKZ GOX |
| ID | FETCH-LOGICAL-a674-e0d129e0bd8bbc5c5d6c52ec10a6a4c570c2faae7ec972913d5ca6b0a03295d53 |
| IEDL.DBID | GOX |
| IngestDate | Wed May 22 12:35:14 EDT 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-a674-e0d129e0bd8bbc5c5d6c52ec10a6a4c570c2faae7ec972913d5ca6b0a03295d53 |
| OpenAccessLink | https://arxiv.org/abs/2405.07824 |
| ParticipantIDs | arxiv_primary_2405_07824 |
| PublicationCentury | 2000 |
| PublicationDate | 2024-05-13 |
| PublicationDateYYYYMMDD | 2024-05-13 |
| PublicationDate_xml | – month: 05 year: 2024 text: 2024-05-13 day: 13 |
| PublicationDecade | 2020 |
| PublicationYear | 2024 |
| Score | 1.9230162 |
| SecondaryResourceType | preprint |
| Snippet | We apply methods of the fixed point theory to a Lambda policy iteration with
a randomization algorithm for weak contractions mappings. This type of mappings... |
| SourceID | arxiv |
| SourceType | Open Access Repository |
| SubjectTerms | Mathematics - Functional Analysis Mathematics - Optimization and Control |
| Title | Fixed Point Theory Analysis of a Lambda Policy Iteration with Randomization for the \'Ciri\'c Contraction Operator |
| URI | https://arxiv.org/abs/2405.07824 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwdV09T8MwFLRoJxYEAlSgoDcgdTL4I87HiEpLkRBF0KFDpcpfkTI0qdIW9efj2KlgYbU93Rvunp_vjNC9EcYaTSOsVEZwJPMYq4xLTIXVrp_gNvdG4clX8j5Pn0dNTA4cvDCy3hffIR9YbR4d3YiHhsSiDuow1jzZepnOw3DSR3G153_POY3pl_6QxPgUnbTqDp5COc7QkS3PUT0u9tbAR1WUWwheeDhkgUCVg4Q3uVJGQsjohVcfdOzwguaSFD5dr1-tWrskOI0JTrPBYjAs6mIx0NDkS9XBngDTtfVj8ws0G49mwwluvzrAMk4ibIlxvGuJMqlSWmhhYi2Y1ZTIWEZaJESzXEqbWJ05NUy5EVrGikjCWSaM4JeoW1al7SFw3a7DhfI0cq1Skps0yTOqcsm01URn7Ar1PEDLdUizWDbYLT121_9v3aBj5ti8GZtT3kfdbb2zt6izMbs7X5IfUmuMOA |
| link.rule.ids | 228,230,782,887 |
| linkProvider | Cornell University |
| 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=Fixed+Point+Theory+Analysis+of+a+Lambda+Policy+Iteration+with+Randomization+for+the+%5C%27Ciri%5C%27c+Contraction+Operator&rft.au=Belhenniche%2C+Abdelkader&rft.au=Chertovskih%2C+Roman&rft.date=2024-05-13&rft_id=info:doi/10.48550%2Farxiv.2405.07824&rft.externalDocID=2405_07824 |