BEST PROXIMITY POINTS INVOLVING SIMULATION FUNCTIONS WITH $(\tau)$-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

Keywords:

Best proximity point, Simulation functions, $(\tau)$-Distance

Abstract

In this paper, we generalize some the best proximity point results in metric space involving simulation functions with เธฃยเนโฌย-distance, given by เธฃยเนโฌย-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. 

Additional Files

Published

12/31/2018

How to Cite

Arunchai, A., Suppalap, S., & Tapanyo, W. (2018). BEST PROXIMITY POINTS INVOLVING SIMULATION FUNCTIONS WITH $(\tau)$-DISTANCE. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 9(2), 115–127. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2874

Issue

Vol. 9 No. 2 (2018): JNAO

Section

Research Articles

License

Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

Creative Commons License

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

Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

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