2025/07/29 by Nizar Souayah, Souayah, Nizar
Engineering · Mathematics · #47H10 #54H25 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Fixed Point Theorems Analysis #General Mathematics (math.GM) #Iterative Methods for Nonlinear Equations
paper · pdf · doi:10.48550/arxiv.2509.10459
openalex publication_date 2025/07/29 · openalex created_date 2025/10/12 · openalex updated_date 2026/07/28
This paper introduces a novel generalization of the classical concept of S-metric spaces, referred to as composed S-metric spaces. By incorporating a composed function, we impose more general conditions on the triangle inequality, extending the traditional framework. Using this newly defined structure, we establish the existence and uniqueness of fixed points under suitable assumptions. Our results expand upon and generalize several established results in the literature across various types of spaces. To highlight the practical significance of our findings, we provide an example that demonstrate the applicability of the theoretical results. This examples highlight the versatility and effectiveness of composed S-metric spaces in a range of mathematical contexts, particularly in solving nth degree polynomial equations.