Journal of Mahani Mathematical Research

Journal of Mahani Mathematical Research

Some results on convergence and existence of best proximity points

Document Type : Research Paper

Authors
1 Yazd University
2 Guru Nanak Dev University
Abstract
In this paper, we introduce generalized cyclic φ-contraction maps in metric spaces and give some results of best proximity points of such mappings in the setting of a uniformly convex Banach space. Moreover, we obtain convergence and existence results of proximity points of the mappings on reflexive Banach spaces
Keywords

Volume 7, Issue 1
March 2018
Pages 13-24

  • Receive Date 09 August 2017
  • Revise Date 25 January 2018
  • Accept Date 16 May 2018