Type: Article
KKM mappings in metric spaces
Journal: Nonlinear Analysis, Theory, Methods and Applications (0362546X)Year: 2005Volume: Issue: 6Pages: 1045 - 1052
DOI:10.1016/j.na.2004.10.003Language: English
Abstract
We introduce the class of KKM-type mappings on metric spaces and establish some fixed point theorems for this class. We also obtain a generalized Fan's matching theorem, a generalized Fan-Browder's type theorem, and a new version of Fan's best approximation theorem. © 2004 Elsevier Ltd. All rights reserved.
Author Keywords
Fan's best approximationFan's mathching theoremFan-Browder's type theoremHyperconvex metric spaceKKM property
Other Keywords
Approximation theoryBoundary value problemsMappingMathematical operatorsNonlinear systemsSet theoryTopologyBrouwer fixed point theoremFan's best approximationFan's matching theoremFan-Browder's type theoremHyperconvex metric spaceKKM propertyNonlinear analysisTheorem proving