Some remarks on Park's abstract convex spaces

Władysław Kulpa, Andrzej Szymanski

Abstract


We discuss S. Park's abstract convex spaces and their relevance to classical
convexieties and $L^{\ast }$-operators. We construct an example of a space
satisfying the partial KKM principle that is not a KKM space. The existence
of such a space solves a problem by S. Park.

Keywords


Abstract convex space; KKM principle

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