Abstract

Some Common Fixed Point Theorems for Single-Valued and Multi-Valued Mappings in Metric Spaces

Highlights

  • Ahmed [2] has obtained a common fixed point theorem for multi-valued mappings which extends the result of Fisher [11]

  • We prove some common fixed point theorems with the help of CLR property and OWC property which generalize, extend and improve the results of Bouhadjera and Djoudi [4]

  • We prove this main result with the help of OWC property

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Summary

Introduction

Ahmed [2] has obtained a common fixed point theorem for multi-valued mappings which extends the result of Fisher [11]. Bouhadjera and Djoudi [4] have generalized the results of Ahmed [2] using D-mappings. We prove some common fixed point theorems with the help of CLR property and OWC property which generalize, extend and improve the results of Bouhadjera and Djoudi [4]. Abdou [1] has introduced the notion of occasionally weakly compatible mappings (shortly, OWC property) and the Common limit in the range (shortly, CLR property) for two single-valued and two multi-valued mappings in metric spaces

Preliminaries
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