Best Proximity Points for Multiplicative Modified Rational Proximal Contraction Mapping on Multiplicative Metric Spaces


Abstract views: 31 / PDF downloads: 16

Authors

  • A. Mary Priya Dharsini Department of Mathematics, Holy Cross College (Autonomous), Tiruchirappalli, Tamilnadu, India
  • U. Karuppiah Department of Mathematics, St. Joseph’s College (Autonomous), Tiruchirappalli, Tamilnadu, India

Keywords:

Best proximity points, fixed points, multiplicative metric spaces, multiplicative modified rational proximal contraction mappings of the first kind

Abstract

In this paper, we prove best proximity point theorems in multiplicative metric spaces satisfying multiplicative modified rational proximal contraction condition of the first kind. The presented results extend, generalize and improve some known results from best proximity point theory. We also give some examples to illustrate and validate our definitions and results.

Downloads

Published

20-01-2018

How to Cite

A. Mary Priya Dharsini, & U. Karuppiah. (2018). Best Proximity Points for Multiplicative Modified Rational Proximal Contraction Mapping on Multiplicative Metric Spaces. International Journal of Mathematics And Its Applications, 6(1 - B), 343–349. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/931

Issue

Vol. 6 No. 1 - B (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.