Type:
Best and coupled best approximation theorems in abstract convex metric spaces
Journal: Nonlinear Analysis, Theory, Methods and Applications (0362546X)Year: 1 February 2011Volume: 74Issue: Pages: 922 - 926
DOI:10.1016/j.na.2010.09.045Language: English
Abstract
In this paper, we first give a best approximation theorem in abstract convex metric spaces. As applications, we then derive some best and coupled best approximations and coupled coincidence point results in normed spaces and hyperconvex metric spaces. © 2010 Elsevier Ltd. All rights reserved.
Author Keywords
Abstract convex metric spaceBest approximationCoupled best approximationCoupled coincidence pointHyperconvex metric spaceKKM propertyNormed space
Other Keywords
AbstractingApproximation theoryTopologyBest approximationsCoincidence pointsConvex metric spacesHyperconvex metric spaceKKM propertyNormed spacesSet theory