Results 91 to 100 of about 151 (105)

Fan-Hemicontinuity for the Gradient of the Norm in Hilbert Space

Mathematica Slovaca, 2022
Abstract It was claimed in [Sadeqi, I.—Salehi Paydar, M.: A comparative study of Ky Fan hemicontinuity and Brezis pseudomonotonicity of mappings and existence results, J. Optim. Theory Appl. 165(2) (2015), 344–358] that the gradient of a convex Gâteaux differentiable function is Fanhemicontinuous.
Marcel Bogdan
exaly   +3 more sources

Fan-Hemicontinuity for the Gradient of the Norm in Several Reflexive Banach Spaces

Topological Methods in Nonlinear Analysis
The present study approaches variational inequalities governed by Fan-hemicontinuous operators. The Fan-hemicontinuity was recently proved (\cite{bogdan:hemicontinuity}) for the gradient of the norm defined on its scalarly-positive, closed convex subdomain of a Hilbert space.
Bogdan, Marcel
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Upper Hemicontinuity of the Correspondence of Subgame-Perfect Equilibrium Outcomes

Journal of Mathematical Economics, 1991
A topology for a class of multistage games is introduced. Some properties of this topology are studied. In particular it is shown that all multistage games can be approximated by finite multistage games. The main result then says that the correspondence mapping multistage games into their subgame-perfect equilibrium outcomes is upper hemicontinuous ...
Tilman Börgers
exaly   +3 more sources

Lower Hemicontinuity of the Nash Equilibrium Correspondence

Games and Economic Behavior, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Minimal Conditions for Upper-Hemicontinuity of the Choice Correspondence

Journal of Economic Theory, 1978
Abstract We denote by ϕ(M, r) the set of all maximal elements in the constraint set M with respect to a (partial) order r and find the coarsest topologies on the domain of ϕ such that ϕ is u.h.c.
exaly   +2 more sources

A Comparative Study of Ky Fan Hemicontinuity and Brezis Pseudomonotonicity of Mappings and Existence Results

Journal of Optimization Theory and Applications, 2014
Let \((X,X^*)\) be a dual pair with \(X\) being a reflexive real Banach space. Let \(K\) be a nonempty subset of \(X\). A map \(A:K \rightarrow X^*\) is called Brezis-pseudomonotone if the function \(u \mapsto (Au,u-v)\) is lower bounded on bounded subsets of \(K\) for all \(v \in K\) and, for any sequence \(\{u_n\}\) weakly convergent to \(u \in K ...
Ildar Sadeqi, M. Salehi Paydar
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WITHDRAWN: On the equivalence of continuity and hemicontinuity for preference preorders

Journal of Mathematical Economics, 2014
This article has been withdrawn at the request of the author(s) and the Editor. The Publisher apologizes for any inconvenience this may cause. The full Elsevier Policy on Article Withdrawal can be found at http://www.elsevier.com/locate/withdrawalpolicy .
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Generalized variational inequalities for upper hemicontinuous and demi operators with applications to fixed point theorems in Hilbert spaces

1998
Summary: Existence theorems of generalized variational inequalities and generalized complementary problems are obtained in topological vector spaces for demi operators which are upper hemicontinuous along line segments in a convex set \(X\). Fixed point theorems are also given in Hilbert spaces for set-valued operators \(T\) which are upper ...
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On a class of Hemivariational inequalities involving hemicontinuous monotone operators. Application in unilateral mechanics

Numerical Functional Analysis and Optimization, 1996
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Brezis Pseudomonotonicity Is Strictly Weaker Than Ky–Fan Hemicontinuity

Journal of Optimization Theory and Applications, 2019
Daniel Steck
exaly