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CFP Theorems in Function-Weighted Probabilistic Metric Spaces and Integral and Fourth-Order Differential Equations

Ehsan Lotfali Ghasab, Reza Chaharpashlou and Ghasem Soleimani Rad

Journal of Mathematics, 2026, vol. 2026, 1-10

Abstract: 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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9050579

DOI: 10.1155/jom/9050579

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