Results 31 to 40 of about 660 (67)
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
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
Bipotentials for non monotone multivalued operators: fundamental results and applications [PDF]
, 2008 This is a survey of recent results about bipotentials representing multivalued operators. The notion of bipotential is based on an extension of Fenchel's inequality, with several interesting applications related to non associated constitutive laws in non
Buliga, Marius +2 more
core +5 more sources
The Mann algorithm in a complete geodesic space with curvature bounded above
, 2013 The purpose of this paper is to prove two Δ-convergence theorems of the Mann algorithm to a common fixed point for a countable family of mappings in the case of a complete geodesic space with curvature bounded above by a positive number.
Y. Kimura +2 more
semanticscholar +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
wiley +1 more source
Some generalizations of common fixed point problems with applications
Fixed Point Theory and Applications, 2014 In this paper, we establish a unified approach to study the existence of fixed points for common fixed point problems. Moreover, we introduce mixed systems of common fixed point problems, systems of common fixed point problems and common fixed point ...
Zhe Yang
semanticscholar +2 more sources
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
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, 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
Partial differential hemivariational inequalities
Advances in Nonlinear Analysis, 2018 The aim of this paper is to introduce and study a new class of problems called partial differential hemivariational inequalities that combines evolution equations and hemivariational inequalities.
Liu Zhenhai +2 more
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
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