Some Common Fixed Point Theorem for Geraghty's Type Contraction Mapping with Two T-Metrics in T-Metric Spaces with Graph

Chaiporn Thangthong, Phakdi Charoensawan

Abstract

The purpose of this paper is to present some existence and uniqueness results for common fixed point theorems for Geraghty's type contraction mappings with two $T$-metrics in $T$-metric spaces endowed with a directed graph. In addition, Our results generalize those presented in [J. Mart\'inez-Moreno, W. Sintunavarat, Y.J. Cho, Common fixed point theorems for Geraghty's type contraction mappings using the monotone property with two metrics, Fixed Point Theory Appl. 2015 (2015) 174].