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Best Proximity Point Results for Suzuki-Edelstein Proximal Contractions via Auxiliary Functions
Journal article   Open access  Peer reviewed

Best Proximity Point Results for Suzuki-Edelstein Proximal Contractions via Auxiliary Functions

Azhar Hussain, Muhammad Qamar Iqbal and Nawab Hussain
Filomat, Vol.33(2), pp.435-447
01/01/2019

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
url
https://doi.org/10.2298/FIL1902435HView
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