Fixed Points Theorems for Mappings with Non-compact and Non-Convex Domains

Guoqiang Tian

MPRA Paper from University Library of Munich, Germany

Abstract: This note gives some fixed point theorems for lower and upper semi-continuous mappings and mappings with open lower sections defined on non-compact and non-convex sets. It will be noted that the conditions of our theorems are not only sufficient but also necessary. Also our theorems generalize some well-known fixed point theorems such as the Kakutani fixed point theorem and the Brouwer-Schauder fixed point theorem by relaxing the compactness and convexity conditions.

Keywords: Fixed Points Theorems; Non-compact; Non-Convex; Domains (search for similar items in EconPapers)
JEL-codes: D5 (search for similar items in EconPapers)
Date: 1989-11-27
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