Abstract

In this article, we find fixed point results for a pairs of mappings satisfying the locally contractive conditions on a closed ball for a new generalized rational type contraction in complete dislocated metric space. Example has been constructed to demonstrate the novelty of our results.

Highlights

  • Introduction and PreliminariesFixed point theory plays a fundamental role in functional analysis

  • Many authors have presented a large number of theorems related to fixed point theorems

  • Huge number of fixed point theorems have been established by various authors and they made different generalizations of the Banach’s result

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Summary

Introduction

Introduction and PreliminariesFixed point theory plays a fundamental role in functional analysis. They have presented fixed point results in complete dislocated metric spaces to draw conclusion from the well known Banach contraction principle.

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