## T. Gerlach, S. Rocktäschel, On convexity and quasiconvexity of extremal value functions in set optimization

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DOI: 10.23952/asvao.3.2021.3.04
Volume 3, Issue 3, 31 December 2021, Pages 293-308

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