SOME FIXED POINT THEOREMS FOR INTERPOLATIVE MEIR-KEELER-R\'EICH CONTRACTION IN A COMPLETE METRIC SPACE WITH AN APPLICATION

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

Volume : 21 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2025.2102.17
Author :
Steward Pastieh Pakma (Department of Mathematics, North Eastern Hill University, Shillong, Meghalaya - 793022, INDIA)
Santosh Kumar (Department of Mathematics, North Eastern Hill University, Shillong, Meghalaya - 793022, INDIA)

Abstract

This paper extends the contraction condition introduced by Karapinar [8] by proposing a new interpolative Reich-Meir-Keeler-type contraction condition in a complete metric space. We establish fixed-point results for two self-mappings in a complete metric space using this condition. We provide relevant examples and an application in physical chemistry to support our findings.

Keywords and Phrases

Fixed point, common fixed point, Meir-keeler contraction, R\'eich-Rus-C\'ir\'ic contraction, complete metric space, Interpolative contraction.

A.M.S. subject classification

47H10, 54H25.

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