A further generalization of the KKM theorem with applications
type: Item
instance of: scholarly article
title: A further generalization of the KKM theorem with applications
zbMATH Open document ID: 0926.47031
DOI: 10.1007/BF02011896
author: Jiahe Jiang
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1999-11-29T00:00:00Z
review text: The purpose of this paper is to give a generalization of the famous KKM theorem involving strongly decomposable mappings, and to give some equivalent forms such as KKM-type theorem, matching theorem, coincidence theorem. The results presented in this paper generalize the corresponding results of \textit{M. Lassonde} [J. Math. Anal. Appl. 97, 151-201 (1983; Zbl 0527.47037)] and of \textit{S. Park} [Proc. 2nd Internat. Conf. on Fixed-Point Theory and Appl., Halifax, 248-277 (1991)].
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 1281430
zbMATH Keywords: KKM theorem
zbMATH Keywords: strongly decomposable mappings
zbMATH Keywords: KKM-type theorem
zbMATH Keywords: matching theorem
zbMATH Keywords: coincidence theorem
reviewed by: Shihsen Chang
MaRDI profile type: Publication
cites work: Coincidence theorems and minimax theorems
cites work: A generalization of Tychonoff's fixed point theorem
cites work: On the use of KKM multifunctions in fixed point theory and related topics
cites work: Coincidence theorems and minimax theorems (II)
cites work: Fixed points for Kakutani factorizable multifunctions
cites work: A generalization of Brouwer's fixed point theorem
cites work: The fixed point theory of multi-valued mappings in topological vector spaces
full work available at URL: https://doi.org/10.1007/bf02011896
OpenAlex ID: W39932001
description: scientific article; zbMATH DE number 1281430