Best Proximity Point forα-ψ-Proximal Contractive Multimaps-Reference-Cited by-同舟云学术

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Best Proximity Point forα-ψ-Proximal Contractive Multimaps

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ali Muhammad Usman¹,Kamran Tayyab²,Shahzad Naseer³^ORCID

Affiliation:

1. Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology H-12, Islamabad 44000, Pakistan

2. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan

3. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract

We extend the notions ofα-ψ-proximal contraction andα-proximal admissibility to multivalued maps and then using these notions we obtain some best proximity point theorems for multivalued mappings. Our results extend some recent results by Jleli and those contained therein. Some examples are constructed to show the generality of our results.

Funder

King Abdulaziz University

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/181598.pdf

Reference35 articles.

1. Fixed point theorems for -contractive type mappings

2. Generalized - Contractive Type Mappings and Related Fixed Point Theorems with Applications

3. On fixed points of α-ψ-contractive multifunctions

4. Some results on fixed points of α-ψ-Ciric generalized multifunctions

5. On ( α ∗ , ψ ) -contractive multi-valued mappings

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