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The Existence of an Equilibrium Density for Marginal Cost Prices, and the Solution to the Shifting-Peak Problem [PDF]
Horsley, A., Wrobel, A.
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Brezis Pseudomonotonicity is Strictly Weaker than Ky–Fan Hemicontinuity [PDF]
Journal of Optimization Theory and Applications, 2018 In 1968, H. Brezis introduced a notion of operator pseudomonotonicity which provides a unified approach to monotone and nonmonotone variational inequalities (VIs). A closely related notion is that of Ky-Fan hemicontinuity, a continuity property which arises if the famous Ky-Fan minimax inequality is applied to the VI framework.
Daniel Steck
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Some remarks on lower hemicontinuity of convex multivalued mappings [PDF]
Economic Theory, 2006 For a multifunction a condition sufficient for lower hemicontinuity is presented. It is shown that under convexity of graph it is possible for a multifunction to be not continuous only when a special representation of points of its domain is not feasible.
Piotr Maćkowiak
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Fan-Hemicontinuity for the gradient of the norm in Hilbert space
Mathematica Slovaca, 2022Abstract 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.
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Upper hemicontinuity of the correspondence of subgame-perfect equilibrium outcomes
Journal of Mathematical Economics, 1991A 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
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Lower Hemicontinuity of the Nash Equilibrium Correspondence
Games and Economic Behavior, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Mathematical Economics, 1996 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, 1978Abstract 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.
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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 ...
Sadeqi, I., Salehi Paydar, Mitra
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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 ...
Sadeqi, I., Salehi Paydar, Mitra
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WITHDRAWN: On the equivalence of continuity and hemicontinuity for preference preorders
Journal of Mathematical Economics, 2014This 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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