Results 11 to 20 of about 70,303 (204)
Quantitative stability analysis of stochastic generalized equations [PDF]
, 2014 We consider the solution of a system of stochastic generalized equations (SGE) where the underlying functions are mathematical expectation of random set-valued mappings.
Dentcheva D. +8 more
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Constrained Nonsmooth Problems of the Calculus of Variations
, 2021 The paper is devoted to an analysis of optimality conditions for nonsmooth multidimensional problems of the calculus of variations with various types of constraints, such as additional constraints at the boundary and isoperimetric constraints.
Dolgopolik, M. V.
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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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Second-order subdifferential calculus with applications to tilt stability in optimization [PDF]
, 2011 The paper concerns the second-order generalized differentiation theory of variational analysis and new applications of this theory to some problems of constrained optimization in finitedimensional spaces. The main attention is paid to the so-called (full
Mordukhovich, B. S., Rockafellar, R. T.
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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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Contingent derivatives and regularization for noncoercive inverse problems
, 2018 We study the inverse problem of parameter identification in non-coercive variational problems that commonly appear in applied models. We examine the differentiability of the set-valued parameter-to-solution map by using the first-order and the second ...
Clason, Christian +3 more
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Applying Metric Regularity to Compute a Condition Measure of a Smoothing Algorithm for Matrix Games
, 2010 We develop an approach of variational analysis and generalized differentiation to conditioning issues for two-person zero-sum matrix games. Our major results establish precise relationships between a certain condition measure of the smoothing first-order
Mordukhovich, Boris +2 more
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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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