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) 

 DOI: https://doi.org/10.58250/Jnanabha.2022.52116

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