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This communication consists of two manifolds. The first manifold consists of the establishment of the existence and uniqueness of coupled fixed points for a pair of mixed monotone operators subjected to a contraction in ordered GV-FMS endowed with the Hadz̆ić type t-norm. An example has also been corroborated showing the genuineness of the produced result by making use of computational analysis of the involved iterative scheme. The second manifold projects the usability of the results presented in the first manifold to establish the existence of a unique solution of the differential equation of the elastic beam problem in real-world problem.

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Coupled Fixed Points in Ordered Fuzzy Metric Spaces and an Elastic Beam Problem

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  • 发表日期：

    2025年

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  • Manish Jain,
  • Muslim Malik

摘要

This communication consists of two manifolds. The first manifold consists of the establishment of the existence and uniqueness of coupled fixed points for a pair of mixed monotone operators subjected to a contraction in ordered GV-FMS endowed with the Hadz̆ić type t-norm. An example has also been corroborated showing the genuineness of the produced result by making use of computational analysis of the involved iterative scheme. The second manifold projects the usability of the results presented in the first manifold to establish the existence of a unique solution of the differential equation of the elastic beam problem in real-world problem.