Best proximity points for tricyclic contractions
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.
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.
Cite this article
T. Sabar, M. Aamri, A. Bassou, Best proximity points for tricyclic contractions, Adv. Fixed Point Theory 7 (2017), 512–523.
BibTeX
@article{Sabar2017,
author = {Sabar, Taoufik and Aamri, Mohamed and Bassou, Abdelhafid},
title = {Best proximity points for tricyclic contractions},
journal = {Adv. Fixed Point Theory},
volume = {7},
year = {2017},
pages = {512--523},
doi = {}
}