Abstract and Applied Analysis (Jan 2015)

A Coincidence Best Proximity Point Problem in G-Metric Spaces

  • M. Abbas,
  • A. Hussain,
  • P. Kumam

DOI
https://doi.org/10.1155/2015/243753
Journal volume & issue
Vol. 2015

Abstract

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The aim of this paper is to initiate the study of coincidence best proximity point problem in the setup of generalized metric spaces. Some results dealing with existence and uniqueness of a coincidence best proximity point of mappings satisfying certain contractive conditions in such spaces are obtained. An example is provided to support the result proved herein. Our results generalize, extend, and unify various results in the existing literature.