Best proximity point results for Suzuki-Edelstein proximal contractions via auxiliary functions

Hussain A., Iqbal M. Q., Hussain N.

Filomat, vol.33, no.2, pp.435-447, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.2298/fil1902435h
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.435-447
  • Keywords: Best proximity points, Coupled fixed point theorem, Suzuki contraction
  • Uşak University Affiliated: No

Abstract

In this paper we study the notion of modified Suzuki-Edelstein proximal contraction under some auxiliary functions for non-self mappings and obtain best proximity point theorems in the setting of complete metric spaces. As applications, we derive best proximity point and fixed point results for such contraction mappings in partially ordered metric spaces. Some examples are given to show the validity of our results. Our results extend and unify many existing results in the literature.