Metric characterizations of upper semicontinuity
AbstractWe characterize upper semicontinuity of multifunctions in terms of upper Hausdorff semicontinuity, measure of non compactness and active boundary. The results are applicable in optimization, theory of best approximation and in metrizability theory.
Dolecki, Szymon, Rolewicz, Stefan
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Upper semicontinuity of pullback attractors for the 3D nonautonomous Benjamin-Bona-Mahony equations. [PDF]
We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms.
Yang X, Wang X, Li J, Zhang L.
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Upper and weak-lower semicontinuity of pullback attractors to impulsive evolution processes
In this paper, following the work done in [11], we deal with the upper and weak-lower semicontinuity of pullback attractors for impulsive evolution processes.
Uzal Couselo, José Manuel +1 more
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Stieltjes Differential Inclusions with Periodic Boundary Conditions without Upper Semicontinuity [PDF]
We are studying first order differential inclusions with periodic boundary conditions where the Stieltjes derivative with respect to a left-continuous non-decreasing function replaces the classical derivative.
Bianca Satco, Valeria Marraffa
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Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems [PDF]
We establish the upper semicontinuity of solution mappings for a class of parametric generalized vector quasiequilibrium problems. As applications, we obtain the upper semicontinuity of solution mappings to several problems, such as parametric ...
Nan-jing Huang, Shu-qiang Shan, Yu Han
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Individual upper semicontinuity and subgame perfect ϵ-equilibria in games with almost perfect information [PDF]
We study games with almost perfect information and an infinite time horizon. In such games, at each stage, the players simultaneously choose actions from finite action sets, knowing the actions chosen at all previous stages.
Flesch, Janos +3 more
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Semicontinuity and closedness of parametric generalized lexicographic quasiequilibrium problems [PDF]
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 ...
Thanatporn Bantaojai +2 more
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Upper Semicontinuity of Solution Maps for a Parametric Weak Vector Variational Inequality [PDF]
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 ...
Z. M. Fang, SJ Li, S. J. Li, ZM Fang
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Separating sets by upper semicontinuous and Darboux upper semicontinuous functions
Abstract In this paper we characterize the pairs ( A 0 , A 1 ) and ( A − , A + ) of disjoint sets which can be separated by an upper semicontinuous function and by a Darboux upper semicontinuous function.
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