Abstract

A new related fixed point theorem on two complete metric spaces is obtained. A generalization is given for two compact metric spaces.

Highlights

  • A new related fixed point theorem on two complete metric spaces is obtained generalization is given for two compact metric spaces

  • It follows from the theorem with (X, d) (Y, p) and S T that T has a unique fixed point z

  • We prove a fixed point theorem for compact metric spaces

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Summary

Introduction

A new related fixed point theorem on two complete metric spaces is obtained generalization is given for two compact metric spaces. RELATED FIXED POINT THEOREMS ON TWO COMPLETE AND COMPACT METRIC SPACES Let (X, d) and (Y, p) be complete metric spaces, let T be a continuous mapping ofX into Y and let S be a mapping ofY into X satisfying the inequalities d(STx, STx’)

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