A generalization of Fan-Browder's fixed point theorem and its applications
type: Item
instance of: scholarly article
title: A generalization of Fan-Browder's fixed point theorem and its applications
zbMATH Open document ID: 0801.54035
DOI: 10.12775/TMNA.1993.043
author: Ezio Marchi
author: Juan-Enrique Martínez-Legaz
published in: Topological Methods in Nonlinear Analysis
publication date: 1994-06-19T00:00:00Z
review text: The purpose of this paper is to obtain some generalizations of fundamental results in nonlinear analysis from \textit{B. Peleg}'s theorem [Can. J. Math. 19, 366-369 (1967; Zbl 0154.203)]. In Section 2, the authors give an extension of Peleg's theorem to topological spaces. In Section 3, they give an extension of Fan-Browder's fixed point theorem. In Section 4, the authors show that the Ky Fan type of inequality is equivalent to the corresponding Fan-Browder type of theorem presented in Section 3. Finally, in Section 5, the authors give a generalization of Ky Fan's intersection theorem for sets with convex section.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 591495
zbMATH Keywords: KKM theorem
zbMATH Keywords: H-space
zbMATH Keywords: H-convexity
zbMATH Keywords: Fan-Browder's fixed point theorem
reviewed by: Shihsen Chang
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 591495