COLLECTIVE FIXED POINTS FOR GENERALIZED CONDENSING MAPS IN ABSTRACT CONVEX UNIFORM SPACES

Hoonjoo Kim

Nonlinear Functional Analysis and Applications Department of Mathematics Education, Kyungnam University, Korea

ISSN (Print) 1229-1595 ISSN (Online) 2466-0973

COLLECTIVE FIXED POINTS FOR GENERALIZED CONDENSING MAPS IN ABSTRACT CONVEX UNIFORM SPACES

Authors

Hoonjoo Kim Department of Mathematics Education Sehan University

Abstract

In this paper, we present a fixed point theorem for a family of generalized condensing multimaps which have ranges of the Zima-Hadˇzi ́c type in Hausdorff KKM uniform spaces. It extends Himmelberg et al. type fixed point theorem. As applications, we obtain some new collective fixed point theorems for various type generalized condensing multimaps in abstract convex uniform spaces.