Existence of Best Proximity Points for Proximal C-Contractions Satisfying Rational Expression on Ordered Metric Spaces


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Authors

  • D. Balraj Department of Mathematics, Bharathidasan University, Trichy, Tamil Nadu, India
  • V. Piramanantham Department of Mathematics, Bharathidasan University, Trichy, Tamil Nadu, India
  • A. H. Ansari Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

Keywords:

Best proximity point, fixed point, $C$-class function

Abstract

The aim of this paper is to present in the partial order metric space setting,the concept of C-class functions has been introduced and existence of best proximity point has been proved. Our rational type mapping generalisations in both contraction mapping and also generalisations the results of Luong and Thuan \cite{e}. Moreover, some examples are given to support the main results.

 

 

Author Biographies

D. Balraj, Department of Mathematics, Bharathidasan University, Trichy, Tamil Nadu, India

 

 

V. Piramanantham, Department of Mathematics, Bharathidasan University, Trichy, Tamil Nadu, India

 

 

A. H. Ansari, Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

 

 

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Published

15-05-2018

How to Cite

D. Balraj, V. Piramanantham, & A. H. Ansari. (2018). Existence of Best Proximity Points for Proximal C-Contractions Satisfying Rational Expression on Ordered Metric Spaces. International Journal of Mathematics And Its Applications, 6(2 - A), 43–51. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/639

Issue

Vol. 6 No. 2 - A (2018)

Section

Research Article

License

Creative Commons License

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