Best Proximity Points for Relatively -Continuous Mappings in Banach and Hyperconvex Spaces-Reference-Cited by-同舟云学术

Best Proximity Points for Relatively -Continuous Mappings in Banach and Hyperconvex Spaces

Published:2013 Issue: Volume:2013 Page:1-5
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Markin Jack¹^ORCID,Shahzad Naseer²^ORCID

Affiliation:

1. 528 Rover Boulevard, Los Alamos, NM 87544, USA

2. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

We prove some best proximity point results for relatively -continuous mappings in Banach and hyperconvex metric spaces. Our results generalize and extend some recent results to relatively -continuous mappings and to general spaces.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/680186.pdf

Reference21 articles.

1. Proximal normal structure and relatively nonexpansive mappings

2. On best proximity pair theorems for relatively -continuous mappings

3. Convergence and existence results for best proximity points

4. Best proximity point theorems for generalized proximal contractions

5. Best proximity points: approximation and optimization

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