Generalized KKM theorems on hyperconvex metric spaces and some applications
type: Item
instance of: scholarly article
title: Generalized KKM theorems on hyperconvex metric spaces and some applications
zbMATH Open document ID: 1171.47042
author: T. H. Chang
author: Chiming Chen
author: Chin-Yueh Peng
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2008-08-22T00:00:00Z
review text: The authors present four theorems. Based on an intersection property in hyperconvex metric spaces, they obtain a generalization of the Knaster-Kuratowski-Mazurkiewicz theorem, a coincidence theorem, a variational inequality theorem, and a minimax inequality theorem.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 55M20
zbMATH DE Number: 5315319
zbMATH Keywords: hyperconvex metric space
zbMATH Keywords: KKM theorem
zbMATH Keywords: coincidence theorem
zbMATH Keywords: variational inequality theorem
zbMATH Keywords: minimax inequality theorem
reviewed by: Vasil G. Angelov
MaRDI profile type: Publication
full work available at URL: j.na.2007.05.039
OpenAlex ID: W2077449509
cites work: KKM mappings in metric spaces
cites work: Extension of uniformly continuous transformations and hyperconvex metric spaces
cites work: KKM property and fixed point theorems
cites work: Generalized \(R\)-KKM type theorems in topological spaces with applications
cites work: A generalization of Tychonoff's fixed point theorem
cites work: Some properties of convex sets related to fixed point theorems
cites work: KKM and Ky Fan theorems in hyperconvex metric spaces
cites work: The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications
cites work: Fixed point theorems in hyperconvex metric spaces
cites work: Matching theorems, fixed point theorems and minimax inequalities in topological ordered spaces
cites work: Fixed point theorems of upper semicontinuous multivalued mappings with applications in hyperconvex metric spaces
cites work: The characterization of generalized metric KKM mappings with open values in hyperconvex metric spaces and some applications
DOI: 10.1016/J.NA.2007.05.039
description: scientific article; zbMATH DE number 5315319