Search Results - "Shim, Soo Hak"

Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus by Jung, Chahn Yong, Farid, Ghulam, Mahreen, Kahkashan, Shim, Soo Hak

“…In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α,m-convex…”
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Inequalities for Fractional Integrals of a Generalized Class of Strongly Convex Functions by Yan, Tao, Farid, Ghulam, Yasmeen, Hafsa, Shim, Soo Hak, Jung, Chahn Yong

“…Fractional integral operators are useful tools for generalizing classical integral inequalities. Convex functions play very important role in the theory of…”
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On Bounds of fractional integral operators containing Mittag-Leffler functions for generalized exponentially convex functions by Saddiqa, Maryam, Farid, Ghulam, Ullah, Saleem, Jung, Chahn Yong, Shim, Soo Hak

“…Recently, a generalization of convex function called exponentially (α,h−m)-convex function has been introduced. This generalization of convexity is used to…”
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ON GENERALIZED NONLINEAR QUASI-VARIATIONAL-LIKE INCLUSIONS DEALING WITH (h,η)-PROXIMAL MAPPING by Liu, Zeqing, Chen, Zhengsheng, Shim, Soo-Hak, Kang, Shin-Min

“…In this paper, a new class of $(h,{\eta})$-proximal for proper functionals in Hilbert spaces is introduced. The existence and Lip-schitz continuity of the…”
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Existence and Mann iterative approximations of nonoscillatory solutions of nth-order neutral delay differential equations by Liu, Zeqing, Gao, Haiyan, Kang, Shin Min, Shim, Soo Hak

“…In this paper we consider the following nth-order neutral delay differential equation: d n d t n [ x ( t ) + c x ( t − τ ) ] + ( − 1 ) n + 1 f ( t , x ( t − σ…”
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ON GENERALIZED NONLINEAR QUASI-VARIATIONAL-LIKE INCLUSIONS DEALING WITH (h,η)-PROXIMAL MAPPING by Liu, Zeqing, Chen, Zhengsheng, Shim, Soo-Hak, Kang, Shin-Min

“…In this paper, a new class of (h, η)-proximal mappings for proper functionals in Hilbert spaces is introduced. The existence and Lipschitz continuity of the…”
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EXISTENCE AND ALGORITHM OF SOLUTIONS FOR GENERALIZED NONLINEAR VARIATIONAL-LIKE INEQUALITIES by Liu, Zeqing, Sun, Juhe, Shim, Soo HAK, Kang, Shin MIN

“…We introduce and study a new class of generalized nonlinear variational-like inequalities. Under suitable conditions, we prove the existence of solutions for…”
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AUXILIARY PRINCIPLE FOR GENERALIZED NONLINEAR VARIATIONAL-LIKE INEQUALITIES by Liu, Zeqing, Gao, Haiyan, Kang, Shin Min, Shim, Soo Hak

“…We introduce and study a new class of generalized nonlinear variational-like inequalities and prove an existence theorem of solutions for this kind of…”
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ON SOLVABILITY OF GENERAL NONLINEAR VARIATIONAL-LIKE INEQUALITIES IN REFLEXIVE BANACH SPACES by Liu, Zeqing, Sun, Juhe, Shim, Soo Hak, Kang, Shin Min

“…We introduce and study a new class of general nonlinear variational‐like inequalities in reflexive Banach spaces. By applying a minimax inequality, we…”
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Existence and algorithm of solutions for generalized nonlinearvariational‐like inequalities by Liu, Zeqing, Sun, Juhe, Shim, Soo Hak, Kang, Shin Min

“…We introduce and study a new class of generalized nonlinear variational‐like inequalities. Under suitable conditions, we prove the existence of solutions for…”
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ALMOST STABILITY OF THE MANN ITERATION METHOD WITH ERRORS FOR STRICTLY HEMI-CONTRACTIVE OPERATORS IN SMOOTH BANACH SPACES by Liu, Z., Kang, S.M., Shim, S.H.

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