A Common Fixed Point Theorem For Multi-Valued Mappings Satisfying An Implicit Relation On Cone Metric Space

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Author: 

Anushri A. Serkar, Assistant Professor, Rajiv Gandhi College of Engineering and Research, Nagpur

Dr.Manjusha P.Gandhi Assistant Professor, Yeshwantrao Chavan College of Engineering, Nagpur

Abstract: 

In the present paper we prove a unique common fixed point theorem for multi-valued mappings satisfying an implicit relation on cone metric space for four mappings. We use the condition of weakly compatibility to prove the fixed point. In this result the cone is not necessarily a normal cone. The result is an extension of S. Sedghi et.al [6] in cone metric space.

 

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