Abstract

The aim of this paper is to study the concept of compatible mappings of type (R) and discussed a common fixed point theorem for three compatible mappings of type (R) satisfying contractive conditions.

Highlights

  • In 1986, Jungck [5] introduced the concept of compatible mappings by generalizing commuting mappings

  • Definition 2.5 Self mappings A and B of a metric space (X, d) are said to be weakly compatible if they commute at their coincidence points

  • Let f, g and h be self mapping of (X, d) and φ is acontractive modulus function satisfying for all x, y X, the pair (f, h) and (g, h) is owc

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Summary

Introduction

In 1986, Jungck [5] introduced the concept of compatible mappings by generalizing commuting mappings. Bouhadjera [1] proved some common fixed point theorems for three and four occasionally weakly compatible mappings satisfying different types of contractive conditions. Definition 2.1 Self mappings A and B of a metric space (X, d) are said to be weakly commuting pair if, for all x X

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