Generalized Convex Set-Valued Maps

Abstract

The aim of this paper is to show that under a mild semicontinuity assumption (the so-called segmentary epi-closedness), the cone-convex (resp. cone-quasiconvex) set-valued maps can be characterized in terms of weak cone-convexity (resp. weak cone-quasiconvexity), i.e. the notions obtained by replacing in the classical definitions the conditions of type ”for… (More)

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Cite this paper

@inproceedings{Benoist2008GeneralizedCS, title={Generalized Convex Set-Valued Maps}, author={Jo{\"{e}l Benoist and Nicolae Popovici and Albert Thomas}, year={2008} }