Geraghty Contractions in Ordered Uniform Spaces

Abstract

Banach contraction principle is first and most essential result in the fixed point theory. There are many generalisations of this principle in the literature. One of them is Geraghty contraction. In this work, Geraghty type contraction was defined via E-distance and common fixed point theorems were proved for two mappings satisfying Geraghty type contraction in ordered uniform spaces. Also, some results of these theorems were obtained.