A Note on Best Proximity Point Theorems under WeakP-Property-Reference-Cited by-同舟云学术

A Note on Best Proximity Point Theorems under WeakP-Property

Published:2014 Issue: Volume:2014 Page:1-4
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Almeida Angel¹,Karapınar Erdal²³,Sadarangani Kishin¹

Affiliation:

1. Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain

2. Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey

3. Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah, Saudi Arabia

Abstract

In the very recent paper of Akbar and Gabeleh (2013), by using the notion ofP-property, it was proved that some late results about the existence and uniqueness of best proximity points can be obtained from the versions of associated existing results in the fixed point theory. Along the same line, in this paper, we prove that these results can be obtained under a weaker condition, namely, weakP-property.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/716825.pdf

Reference6 articles.

1. A best proximity point theorem for weakly contractive non-self-mappings

2. A note on ‘A best proximity point theorem for Geraghty-contractions’

3. Some theorems on weakly contractive maps

4. Fixed point theorems for generalized contractions on partial metric spaces

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