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

Author

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  • Ehsan Lotfali Ghasab
  • Reza Chaharpashlou
  • Ghasem Soleimani Rad

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.

Suggested Citation

  • Ehsan Lotfali Ghasab & Reza Chaharpashlou & Ghasem Soleimani Rad, 2026. "CFP Theorems in Function-Weighted Probabilistic Metric Spaces and Integral and Fourth-Order Differential Equations," Journal of Mathematics, Hindawi, vol. 2026, pages 1-10, April.
  • Handle: RePEc:hin:jjmath:9050579
    DOI: 10.1155/jom/9050579
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