This paper develops the theory of function‐weighted probabilistic metric spaces (FWPMSs) and establishes the existence of common fixed points (CFPs) for commutative mappings within this framework. A key lemma is also introduced to bridge the connection between CFPs and common n ‐tuples fixed points. To exhibit the importance of the theoretical results, we present some illustrative examples and consider the findings to present the existence of a solution for an integral equation and a nonlinear fourth‐order differential equation.
Ghasab et al. (Thu,) studied this question.