Type: Article
A best approximation theorem in hyperconvex metric spaces
Journal: Nonlinear Analysis, Theory, Methods and Applications (0362546X)Year: 15 March 2009Volume: 70Issue: Pages: 2453 - 2456
Amini Harandi A.aFarajzadeh A.P.
DOI:10.1016/j.na.2008.03.029Language: English
Abstract
In this paper, we present a best approximation theorem for set-valued mappings in hyperconvex metric spaces, which generalize the well-known result of Kirk, Sims and Yuan [W.A. Kirk, B. Sims, X.Z. Yuan, The Knaster-Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications, Nonlinear Anal. 39 (2000) 611-627]. © 2008 Elsevier Ltd. All rights reserved.
Author Keywords
Best ApproximationGeneralized KKM mappingHyperconvex spaces
Other Keywords
Programming theoryTopologyVector quantizationBest ApproximationBest approximationsGeneralized KKM mappingHyperconvex metric spacesHyperconvex spacesKuratowskiSet-valued mappingsSet theory