PG and Research Department of Mathematics, Holy Cross College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli-620002, Tamil Nadu, India.
International Journal of Science and Research Archive, 2025, 16(01), 1512-1522
Article DOI: 10.30574/ijsra.2025.16.1.2181
Received on 11 June 2025; revised on 20 July 2025; accepted on 22 July 2025
In this paper, we introduce some rational cyclic conditions in b-multiplicative metric spaces. These conditions generalize existing rational cyclic conditions studied in standard metric frameworks. We establish several best proximity point theorems for a pair of mappings that satisfy these conditions in b-multiplicative metric spaces, thereby broadening the scope of fixed point and best proximity point theory. To illustrate the theoretical results, we provide an application to a nonlinear integral equation.
b-Multiplicative Metric Space; R -Function; Rational Cyclic Condition; Cyclic Map; Best Proximity Point
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J Jarvisvivin and A Mary Priya Dharsini. On best proximity points in b-multiplicative metric spaces using R-functions with an application. International Journal of Science and Research Archive, 2025, 16(01), 1512-1522. Article DOI: https://doi.org/10.30574/ijsra.2025.16.1.2181.
Copyright © 2025 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution Liscense 4.0
