PAIR OF NON-SELF-MAPPINGS AND COMMON FIXED POINTS IN PARTIAL METRIC SPACES


By

Terentius Rugumisa1 and Santosh Kumar2

1Faculty of Science, Technology and Environmental Studies, The Open University of Tanzania

2Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania

Email:rterentius@gmail.com, drsengar2002@gmail.com

(Received : February 12, 2022 ; Revised : March 01, 2022; Accepted : April 04, 2022)


Abstract

Gajić and Rakočević proved a common fixed point theorem for non-self mappings on a Takahashi convex metric space. In this paper, we prove a common fixed point theorem on a pair of non-self mappings obeying specified conditions on a convex partial metric space. We also provide an illustrative example on the use of the theorem.


2020 Mathematical Sciences Classification: 54H25.

Keywords and Phrases: Convex partial metric space, common fixed point, non-self mapping, coincidentally commuting.



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