Generalizations of Hyperconvex Metric Spaces

Authors : Sehei PARK

Pages : 71-82

View : 27 | Download : 12

Publication Date : 2019-08-30

Article Type : Research Paper

Abstract :Since Khamsi found a KKM theorem for hyperconvex metric spaces in 1996,  there have appeared a large number of works on them related to the KKM theory.   In our previous review [34], we followed the various stages of developments of the   KKM theory of hyperconvex metric spaces. In fact, we introduced abstracts of  articles on such theory and gave comments or generalizations of the results there  if necessary. We noted that many results in those articles are consequences of   insert ignore into journalissuearticles values(partial); KKM space theory developed by ourselves from 2006. The present survey  is a continuation of [34] and aims to collect further generalizations of hyperconvex  metric spaces related to the KKM theory.
Keywords : convex space, Generalizations of Hyperconvex Metric Spaces, abstract convex space, Horvath space, metric type space, metric spaces with continuous midpoints, global nonpositive curvature NPC,