Best proximity points for tricyclic contractions

Taoufik Sabar, Mohamed Aamri, Abdelhafid Bassou

Abstract


Consider a self mapping T defined on the union of three subsets A,B andC of a metric space, T is to be called a tricyclic mapping if it satisfies T (A)⊆B, T (B)⊆C and T (C)⊆A. In this work we shall give an existence theorem of a best proximity point for tricyclic contractions in reflexive Banach spaces. The concept of tricyclic contractions is firstly introduced in this article.

Full Text: PDF

How to Cite this Article:

Taoufik Sabar, Mohamed Aamri, Abdelhafid Bassou, Best proximity points for tricyclic contractions, Advances in Fixed Point Theory, Vol 7, No 4 (2017), 512-523

Copyright © 2017 Taoufik Sabar, Mohamed Aamri, Abdelhafid Bassou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

ISSN: 1927-6303

Editorial Office: office@scik.org

Copyright ©2017 SCIK Publishing Corporation. All rights reserved.