Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 18 (2023), 329 -- 341

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

FIXED POINTS IN BICOMPLEX VALUED S-METRIC SPACES WITH APPLICATIONS

G. Siva

Abstract. This article introduces the idea of bicomplex valued S-metric space and deduces some of its features. Additionally, for bicomplex valued S-metric spaces, some fixed point results of contraction maps are shown to meet various categories of rational inequalities. Moreover, these results generalize certain significant, well-known results. An example is provided to highlight our major result. Furthermore, a theorem guaranteeing the existence of the one and only solution to the linear system of equations was developed using our main result.

2020 Mathematics Subject Classification: Primary 54E40; Secondary 54H25
Keywords: Complex number; Partial order; Linear equation; Nonsingular.

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G. Siva
Department of Mathematics, Alagappa University
Karaikudi-630 003, India.
e-mail: gsivamaths2012@gmail.com

http://www.utgjiu.ro/math/sma