Best Proximity Points for Generalizedα-ψ-Proximal Contractive Type Mappings-Reference-Cited by-同舟云学术

Best Proximity Points for Generalizedα-ψ-Proximal Contractive Type Mappings

Published:2013 Issue: Volume:2013 Page:1-10
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Jleli Mohamed¹,Karapınar Erdal²,Samet Bessem¹^ORCID

Affiliation:

1. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

2. Department of Mathematics, Atılım University, İncek, 06836 Ankara, Turkey

Abstract

We introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived.

Funder

King Saud University

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2013/534127.pdf

Reference18 articles.

1. Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces

2. Best proximity pairs and equilibrium pairs for Kakutani multimaps

3. Convergence and existence results for best proximity points

4. Best proximity points for cyclic Meir–Keeler contractions

5. Existence and convergence of best proximity points

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