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

AREERAT  ARUNCHAI; SIWAKON  SUPPALAP; WANCHAI  TAPANYO

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

Authors

AREERAT ARUNCHAI Department of Mathematics and Statistics, Nakhonsawan Rajabhat University, Nakhonsawan, Thailand
SIWAKON SUPPALAP Department of Mathematics, Naresuan University, Phisanulok, Thailand
WANCHAI 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.