Fixed point theorems for compact multimaps on almost \(\varGamma\)-convex sets in generalized convex spaces (Q858664)

The present work belongs to the large category of papers dealing with very abstract generalizations of the so-called KKM theory of set-valued maps. The authors introduce a concept of a strict KKM map and study the existence of fixed points of such maps defined on uniform spaces having a generalized convexity structure. The results are applied to establish a certain version of the min-max theorem. The definitions and results are highly abstract and technical, so they cannot be reproduced here.