Best proximity points involving simulation functions with Ï„-distance

Authors

  • A. Arunchai Department of Mathematics and Statistics, Nakhonsawan Rajabhat University,Nakhonsawan, Thailand
  • S. Suppalap Department of Mathematics, Naresuan University, Phisanulok, Thailand
  • W. Tapanyo Department of Mathematics and Statistics, Nakhonsawan Rajabhat University, Nakhonsawan, Thailand

Abstract

In this paper, we generalize some the best proximity point results in metric space involving simulation functions with Ï„-distance, given by Ï„-distance is lower semicontinuous in its first variable. Inspired by using the concept of w0-distance which is a special case of w-distance. As a consequence, several best proximity point theorems are obtained. 

Downloads

Published

2018-12-31

How to Cite

Arunchai, A., Suppalap, S., & Tapanyo, W. (2018). Best proximity points involving simulation functions with Ï„-distance. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 9(2), 115-127. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/524

Issue

Section

Research Article