Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces

Jack Markin; Naseer Shahzad; Nadia Shahzad

doi:10.1016/j.na.2008.03.045

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Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces

Journal article

Peer reviewed

Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces

Jack Markin, Naseer Shahzad and Nadia Shahzad

Nonlinear analysis, Vol.70(6), pp.2435-2441

15/03/2009

DOI: https://doi.org/10.1016/j.na.2008.03.045

Abstract

Best approximations

Best proximity pairs

Condensing mappings

Hyperconvex spaces

Invariant sets

Nonexpansive mappings

In hyperconvex metric spaces we consider best approximation, invariant approximation and best proximity pair problems for multivalued mappings that are condensing or nonexpansive.

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Title: Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces
Creators - without role: Jack Markin - 528 Rover Blvd., Los Alamos, NM 87544, United States
Naseer Shahzad - Department of Mathematics, King Abdul Aziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
Nadia Shahzad - King Abdulaziz University
Publication Details: Nonlinear analysis, Vol.70(6), pp.2435-2441
Publisher: Elsevier Ltd
Identifiers: 9935402108331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article