Coupled best proximity points of generalised Hardy-Rogers type cyclic (w)-contraction mappings

  • Johnson Olaleru Department of Mathematics, University of Lagos, Lagos, Nigeria.
  • Victoria Olisama Department of Mathematics, University of Lagos, Lagos, Nigeria.
  • Mujahid Abbas Department of Mathematics and Applied Mathematics, University of Pretoria, Lynn-wood street, Pretoria 0002, South Africa.

Abstract

In this paper, we introduce generalized Hardy-Rogers type cyclic (w)- contraction mappings which generalizes the cyclic, Kannan, Chatterjea
and Reich contraction mappings. We establish the existence and uniqueness of coupled best proximity points of such mappings in the framework
of b-metric space. Some examples are presented to support the results proved herein. Our results generalize and extend various comparable results
in the existing literature. An application of our result to establish the existence of a solution of a differential equation is presented.

Published
2018-04-10
How to Cite
Olaleru, J., Olisama, V., & Abbas, M. (2018). Coupled best proximity points of generalised Hardy-Rogers type cyclic (w)-contraction mappings. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2015, 33 - 54. Retrieved from http://ijmso.unilag.edu.ng/article/view/14
Issue
Vol 2015
Section
Articles

This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, adaptation, and reproduction in any medium, provided that the original work is properly cited.