Results 11 to 20 of about 3,373 (227)

New Perturbed Proximal Point Algorithms for Set-valued Quasi Variational Inclusions [PDF]

, 2004
In this paper, by using some new and innovative techniques, some perturbed iterative algorithms for solving generalized set-valued variational inclusions are suggested and analyzed.
Li, Rong, Shi, Chaofeng
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New Approximate Schemes for Generalized General Set-Valued Mixed Quasi Variational Inequalities [PDF]

, 2008
In this paper, we suggest and consider a class of new three-step approximation schemes for generalized general set-valued mixed quasi variational inequalities.
Shi, Chaofeng
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A Predictor-Corrector Methods for Mixed Inverse Variational Inequalities [PDF]

, 2009
In this paper, a class of mixed inverse variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for mixed inverse variational inequalities, suggest a predictor-corrector method for solving the ...
Shi, Chaofeng
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A New Variational Inequality with its Application [PDF]

, 2009
In this paper, we suggest the iterative algorithm for a variational inequality by using the auxiliary principle technique, which is closely related to the optimal boundary control of time-varying population system with age-dependence and spatial ...
Shi, Chao-Feng
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A Hybrid Proximal Point Three-Step Algorithm for Nonlinear Set-Valued Quasi-Variational Inclusions System Involving (A,η)-Accretive Mappings

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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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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Stability analysis for set-valued vector mixed variational inequalities in real reflexive Banach spaces

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
openaire   +1 more source

Approximate Convexity of Set-Valued Mappings and Variational Inequalities

Mathematics
In 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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