Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 16 3 2025 03 01 Fixed points in tricomplex valued S-metric spaces with applications 115 123 8611 10.22075/ijnaa.2024.31494.4646 EN G. Siva Department of Mathematics, Alagappa University, Karaikudi-630 003, India Journal Article 2023 08 13 The concept of tricomplex valued S-metric space is introduced in this article, and some properties are derived. Also, some fixed point results of contraction maps satisfying various types of rational inequalities are proved for tricomplex valued S-metric spaces. Moreover, an example is given to illustrate our main result. Furthermore, an existence theorem for the unique solution to the linear system of equations is obtained by using our main result. Complex number Partial order S-metric space Nonsingular https://ijnaa.semnan.ac.ir/article_8611_b685a5c2979085afeb77d2b8f5bd2c9e.pdf