Two coincidence theorems of Vietoris maps
type: Item
instance of: scholarly article
title: Two coincidence theorems of Vietoris maps
zbMATH Open document ID: 1051.47040
author: Liang-Ju Chu
author: Ching-Yan Lin
published in: Acta Mathematica Vietnamica
publication date: 2004-02-11T00:00:00Z
review text: The authors prove a series of interesting fixed point and coincidence theorems. They use powerful mathematical tools, such as homology theory and partitions of unity. We remark that by using Nikaidô's coincidence theorem about Vietoris maps, they prove a fixed point theorem which unifies many well-known fixed point theorems, such as Brouwer's fixed point theorem, Kakutani's fixed point theorem, Browder's fixed point theorem and Fan-Glicksberg's fixed point theorem. They also deduce a generalization of Górniewicz' fixed point theorem and two versions of Nikaidô's coincidence theorem. The style of the paper is clear and the arguments are nice.
reviewed by: S. Z. Németh
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 49J35
Mathematics Subject Classification ID: 52A99
Mathematics Subject Classification ID: 58E35
zbMATH DE Number: 2040355
zbMATH Keywords: set valued maps
zbMATH Keywords: coincidence therorems
zbMATH Keywords: fixed point theorems
zbMATH Keywords: generalized variational inequality problems
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2040355