Results 21 to 30 of about 27,706 (253)
Fixed Point Theory and Applications, 2010 The main purpose of this paper is to introduce and study a new class of generalized nonlinear set-valued quasi-variational inclusions system involving (A,η)-accretive mappings in Banach spaces.
Mao Ming Jin, An Jian Xu, Hong-Gang Li
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Capra-Convexity, Convex Factorization and Variational Formulations for the ℓ0 Pseudonorm [PDF]
Set-Valued and Variational Analysis, 2020 The so-called ℓ 0 pseudonorm, or cardinality function, counts the number of nonzero components of a vector. In this paper, we analyze the ℓ 0 pseudonorm by means of so-called Capra (constant along primal rays) conjugacies, for which the underlying source
J. Chancelier, M. De Lara
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Vector Optimization with Domination Structures: Variational Principles and Applications [PDF]
Set-Valued and Variational Analysis, 2021 This paper addresses a large class of vector optimization problems in infinite-dimensional spaces with respect to two important binary relations derived from domination structures.
T. Q. Bao +3 more
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Gap Functions and Algorithms for Variational Inequality Problems
Journal of Applied Mathematics, 2013 We solve several kinds of variational inequality problems through gap functions, give algorithms for the corresponding problems, obtain global error bounds, and make the convergence analysis.
Congjun Zhang, Baoqing Liu, Jun Wei
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An approximation theorem and generic convergence for equilibrium problems
Journal of Inequalities and Applications, 2018 In this paper, we prove an approximation theorem for equilibrium problems and provide theoretical support for many algorithms. Simon’s bounded rationality is illustrated by an approximation theorem, that is, bounded rationality is approaching full ...
Xiaoling Qiu, Wensheng Jia, Dingtao Peng
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Journal of Industrial & Management Optimization, 2013 In this paper, some characterizations for the solution sets of a class of set-valued vector mixed variational inequalities to be nonempty and bounded are presented in real reflexive Banach spaces. An equivalence relation between the solution sets of the vector mixed variational inequalities and the weakly efficient solution sets of the vector ...
Xing Wang, Nan-Jing Huang
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Approximate Convexity of Set-Valued Mappings and Variational Inequalities
MathematicsIn this article, we introduce the notion of approximate convexity for set-valued mappings, specifically in the forms of approximate pseudoconvexity and approximate quasiconvexity.
Dalal Alhwikem
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Restrictive metric regularity and generalized differential calculus in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2004 We consider nonlinear mappings f:X→Y between Banach spaces and study the notion of restrictive metric regularity of f around some point x¯, that is, metric regularity of f from X into the metric space E=f(X).
Boris S. Mordukhovich, Bingwu Wang
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Stability Analysis for Parameterized Variational Systems with Implicit Constraints [PDF]
Set-Valued and Variational Analysis, 2019 In the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from the parameter, also on the solution itself.
Matúš Benko, H. Gfrerer, J. Outrata
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Fixed Point Theory and Applications, 2009 We glance at recent advances to the general theory of maximal (set-valued) monotone mappings and their role demonstrated to examine the convex programming and closely related field of nonlinear variational inequalities. We focus mostly on applications of
Ravi P. Agarwal, Ram U. Verma
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