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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.33 No.1

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Fixed Point Theorems Satisfying Geraghty-type Contraction on relational Multiplicative Metric Spaces with Application

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2026, v.33 no.1, pp.21-36
https://doi.org/10.7468/jksmeb.2026.33.1.21
Amrish Handa (Govt. P. G. Arts and Science College)
Sonal Jain (Govt. Arts and Science College Ratlam)
Amrish, H. , & Sonal, J. (2026). Fixed Point Theorems Satisfying Geraghty-type Contraction on relational Multiplicative Metric Spaces with Application, 33(1), 21-36, https://doi.org/10.7468/jksmeb.2026.33.1.21

Abstract

The principal objective of this research article is to construct a unique common fixed point theorem satisfying Geraghty-type contraction on relational multiplicative metric spaces. We study the existence and uniqueness of a solution for multiplicative boundary value problems and an example is also given to validate our results. Our results improve and generalize various classical and recent results in the existing literature of multiplicative metric spaces.

keywords
Relational multiplicative metric space, Geraghty-type contraction, fixed, point, coincidence point, compatible mapping, multiplicative boundary value problems.

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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