Results 21 to 30 of about 1,839,360 (254)
On the upper semicontinuity of the Wu metric [PDF]
Proceedings of the American Mathematical Society, 2004 We discuss continuity and upper semicontinuity of the Wu pseudometric.
Marek Jarnicki, Peter Pflug
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Subharmonicity without Upper Semicontinuity
Journal of Functional Analysis, 1997 Let \(\Omega\subseteq \mathbb{R}^d\) be open and let \(x\in\Omega\). There are many probability measures \(\mu\) with compact support in \(\Omega\) which have the following property: \(u(x)\leq\int u d\mu\) for every subharmonic function \(u\) on \(\Omega\). (Such a measure is called a Jensen measure for \(x\).) Familiar examples are normalized surface
Brian J. Cole, Thomas Ransford
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On upper semicontinuity of duality mappings [PDF]
Proceedings of the American Mathematical Society, 1994 We give new sufficient conditions for a Banach space to be an Asplund (or reflexive) space in terms of certain upper semicontinuity of the duality mapping.
Manuel D. Contreras, Rafael Payá
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On the upper semicontinuity of a quasiconcave functional [PDF]
Journal of Functional Analysis, 2020 In the recent paper \cite{SER}, the second author proved a divergence-quasiconcavity inequality for the following functional $ \mathbb{D}(A)=\int_{\mathbb{T}^n} det(A(x))^{\frac{1}{n-1}}\,dx$ defined on the space of $p$-summable positive definite matrices with zero divergence. We prove that this implies the weak upper semicontinuity of the functional $\
De Rosa L., Serre D., Tione R.
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The stability of minimal solution sets for set optimization problems via improvement sets
Journal of Inequalities and Applications, 2023 In this paper we investigate the stability of solution sets for set optimization problems via improvement sets. Some sufficient conditions for the upper semicontinuity, lower semicontinuity, and compactness of E-minimal solution mappings are given for ...
Taiyong Li, Yanhui Wei
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Semicontinuity and closedness of parametric generalized lexicographic quasiequilibrium problems
Journal of Inequalities and Applications, 2016 This paper is mainly concerned with the upper semicontinuity, closedness, and the lower semicontinuity of the set-valued solution mapping for a parametric lexicographic equilibrium problem where both two constraint maps and the objective bifunction ...
Rabian Wangkeeree +2 more
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On structure of upper semicontinuity
Journal of Mathematical Analysis and Applications, 1982 AbstractThe refinement of a Choquet theorem on (strong) upper semi-continuity and its relation to the Vainstein lemma are dealt with here. Relevance of subcontinuity is discussed. Consequently, an improvement of a characterization theorem of Dolecki and Rolewicz is achieved.
Szymon Dolecki, Alojzy Lechicki
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Axioms, 2023 We state a characterization of the existence of equilibrium in terms of certain finite subsets under compactness and transfer upper semicontinuity conditions.
Maria Isabel Berenguer +3 more
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Upper Semicontinuity of Solution Maps for a Parametric Weak Vector Variational Inequality
Journal of Inequalities and Applications, 2010 This paper investigates the upper semicontinuity of the solution map for a parametric weak vector variational inequality associated to a v-hemicontinuous and weakly C-pseudomonotone operator.
Z. M. Fang, S. J. Li
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Upper Semicontinuous Extensions of Binary Relations [PDF]
SSRN Electronic Journal, 2002 The notion of consistency in binary relations is considered. The authors provide sufficient conditions for the existence of upper semicontinuous extensions of consistent rather than transitive relations. For asymmetric relations, consistency and upper semicontinuity suffice.
Kotaro Suzumura +3 more
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