MODIFIED GERAGHTY TYPE VIA SIMULATION FUNCTIONS

PHEERACHATE  BUNPATCHARACHAROEN; WARUT  KITCHAROEN

MODIFIED GERAGHTY TYPE VIA SIMULATION FUNCTIONS

Authors

PHEERACHATE BUNPATCHARACHAROEN Department of Mathematics, Faculty of Science and Technology, Rambhai Barni Rajabhat University, Chanthaburi 22000, Thailand
WARUT KITCHAROEN Program Mathematics, Faculty of Education, Rajabhat Rajanagarindra University, Chachoengsao 24000, Thailand.

Keywords:

Geraghty type contraction mapping, simulation function, point of coincidence, common fixed point

Abstract

We explore the Geraghty contraction through a simulation function, eluci- dating certain conditions for the existence and uniqueness of coincidence points for multi- class mappings involving the Geraghty function in metric spaces. The results presented in this work are consistent with those found in existing literature.