On convexity and quasiconvexity of extremal value functions in set optimization

We study different classes of convex and quasiconvex set-valued maps defined by means of the lower-less order relation and the upper-less order relation. The aim of this paper is to formulate necessary and especially sufficient conditions for the convexity/quasiconvexity of extremal value functions.

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DOI: 10.23952/asvao.3.2021.3.04

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