Common Fixed Point Theorems in Modular Multi-Metric Spaces

Abstract

In this paper, we study the existence and uniqueness of common fixed points for compatible self-mappings in modular multi-metric spaces, which generalize both modular and multi-metric spaces. We introduce contractive conditions suitable for this setting and establish a common fixed point theorem that extends classical results such as Banach’s contraction principle and Jungck’s theorem. An illustrative example is provided to demonstrate the applicability of the main result. The results contribute to the theory of fixed points in spaces with multiple modular structures and offer potential applications in nonlinear analysis and optimization.