UNIQUENESS OF CERTAIN FIXED POINT THEOREMS ON MULTIPLICATIVE METRIC SPACE WITH APPLICATION

Year 2026, Volume: 16 Issue: 4 , 496 - 509 , 07.04.2026

Mohanraj R D , Rajesh C

https://izlik.org/JA34SE62AU

Abstract

In this paper, we establish few fixed point results in multiplicative metric space and prove the existence of fixed points along with its uniqueness, by employing contraction mappings in complete multiplicative metric space. We have provided few examples to validate our obtained results. Furthermore, we prove some theorems involving solutions of nonlinear integral equation as an application of our fixed point theorems.

Keywords

Contraction mapping , Complete multiplicative metric space , Fixed point , Weakly commuting mappings

Thanks

The authors would like to thank the anonymous reviewers of the TWMS Journal of Applied and Engineering Mathematics for their valuable feedback to improve the quality of the manuscript.

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