drsatyaprakash.singh@rsmams.org
Back to rsmams.org About SEAJMAMS For Authors Submit a Paper Contact Us
RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 21, Issue 2 Article
Research Article

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

S
Steward Pastieh Pakma Department of Mathematics, North Eastern Hill University, Shillong, Meghalaya - 793022, INDIA
S
Santosh Kumar Department of Mathematics, North Eastern Hill University, Shillong, Meghalaya - 793022, INDIA
Volume 21, Issue 2 Pages 237-252 August 30, 2025 1 downloads
Article overview

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 pointcommon fixed pointMeir-keeler contractionR\'eich-Rus-C\'ir\'ic contractioncomplete metric spaceInterpolative contraction.

AMS Subject Classification

47H10, 54H25.

Reference information

How to Cite

Steward Pastieh Pakma, Santosh Kumar (2025). SOME FIXED POINT THEOREMS FOR INTERPOLATIVE MEIR-KEELER-R\'EICH CONTRACTION IN A COMPLETE METRIC SPACE WITH AN APPLICATION. South East Asian Journal of Mathematics and Mathematical Sciences, 21(2), 237-252.
Back to this issue
Copied