Results 31 to 40 of about 669 (69)
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
On the Aubin property of a class of parameterized variational systems [PDF]
, 2017 The paper deals with a new sharp criterion ensuring the Aubin property of solution maps to a class of parameterized variational systems. This class includes parameter-dependent variational inequalities with non-polyhedral constraint sets and also ...
Gfrerer, Helmut, Outrata, Jiří V
core +3 more sources
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
wiley +1 more source
Discrete Approximations of a Controlled Sweeping Process [PDF]
, 2014 The paper is devoted to the study of a new class of optimal control problems governed by the classical Moreau sweeping process with the new feature that the polyhe- dral moving set is not fixed while controlled by time-dependent functions.
B. S., Mordukhovich +3 more
core +1 more source
, 2013 In this paper, we investigate a class of accretive mappings called theH(⋅,⋅)-mixed mappingsin Banach spaces. We prove that the proximal-point mapping associated with theH(⋅,⋅)-mixed mapping issingle-valued and Lipschitz continuous.
S. Husain, Sanjeev Gupta, V. Mishra
semanticscholar +1 more source
Fixed Point Theory and Applications, 2014 As a generalization of the KKM theorem in (Yang and Pu in J. Optim. Theory Appl. 154:17-29 2012), we propose some new nonempty intersection theorems for an infinite family of set-valued mappings without convexity assumptions, and consider generic ...
Zhe Yang
semanticscholar +2 more sources
, 2013 In this paper, we study a class of parametric generalized vector mixed quasivariational inequality problems (in short, (MQVIP)) in Hausdorff topological vector spaces.
N. Hung
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On the existence and stability of solutions of a mixed general type of variational relation problems
Journal of Inequalities and Applications, 2014 In this paper, we introduce a mixed general type of variational relation problems, and establish the existence theorem of solutions of mixed general types of variational relation problems.
Zhe Yang
semanticscholar +1 more source
Evolution of the 1984 KKM theorem of Ky Fan
, 2012 Recently we established the Knaster, Kuratowski, and Mazurkiewicz (KKM) theory on abstract convex spaces. In our research, we noticed that there are quite a few generalizations and applications of the 1984 KKM theorem of Ky Fan compared with his ...
Sehie Park
semanticscholar +1 more source