Results 11 to 20 of about 571 (43)
Mixed variational inequalities and economic equilibrium problems
Journal of Applied Mathematics, Volume 2, Issue 6, Page 289-314, 2002., 2002 We consider rather broad classes of general economic equilibrium problems and oligopolistic equilibrium problems which can be formulated as mixed variational inequality problems. Such problems involve a continuous mapping and a convex, but not necessarily differentiable function. We present existence and uniqueness results of solutions under weakened P‐
I. V. Konnov, E. O. Volotskaya
wiley +1 more source
Demonstratio Mathematica, 2018 In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
doaj +1 more source
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000 From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
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Klee sets and Chebyshev centers for the right Bregman distance [PDF]
, 2009 We systematically investigate the farthest distance function, farthest points, Klee sets, and Chebyshev centers, with respect to Bregman distances induced by Legendre functions.
Bauschke, Heinz H. +3 more
core +2 more sources
On optimal control in a nonlinear interface problem described by hemivariational inequalities
Advances in Nonlinear AnalysisThis article is devoted to the existence of optimal controls in various control problems associated with a novel nonlinear interface problem on an unbounded domain with non-monotone set-valued transmission conditions.
Gwinner Joachim
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Blurred maximal cyclically monotone sets and bipotentials
, 2010 Let X be a reflexive Banach space and Y its dual. In this paper we find necessary and sufficient conditions for the existence of a bipotential for a blurred maximal cyclically monotone graph. Equivalently, we find a necessary and sufficient condition on $
Bodovillé G. +11 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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, 2012 We show that the moving arithmetic average is closely connected to a Gauss-Seidel type fixed point method studied by Bauschke, Wang and Wylie, and which was observed to converge only numerically.
Bauschke, Heinz H. +2 more
core
Differential Stability of Convex Discrete Optimal Control Problems
, 2017 Differential stability of convex discrete optimal control problems in Banach spaces is studied in this paper. By using some recent results of An and Yen [Appl. Anal.
An, Duong Thi Viet, Toan, Nguyen Thi
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A Fixed Point Theorem for Discontinuous Functions [PDF]
AMS classifications: 54H25, 65K10, 49J53, 68W25Fixed point;simplicial subdivision;discontinuity ...
Herings, P.J.J. +3 more
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