A COMMON FIXED POINT THEOREM FOR COMPATIBLE MAPS IN COMPLEX VALUED METRIC SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 198

Volume : 17 , Issue : 3
DOI:
Author :
Sanjay Kumar Tiwari (University Department of Mathematics, Magadh University, Bodhgaya, Gaya - 824234, Bihar, INDIA)
Himanshu Kumar Pandey (University Department of Mathematics, Magadh University, Bodhgaya, Gaya - 824234, Bihar, INDIA)

Abstract

In this article, we prove a common fixed point theorem for compatible map in complex valued metric spaces without using the notion of continuity for two pairs of map. Our result generalizes and extends the results of Karapinar [5] and Noorwali [6].

Keywords and Phrases

Contractive map, interpolation, common fixed point, compatible mapping, complex valued metric space, partial ordered set.

A.M.S. subject classification

47H10, 54H25.

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