Common Fixed Point Theorems for Order Contractive Mappings on a σ-Complete Vector Lattice

Min Wang, Mujahid Abbas, Mi Zhou and Abdul Rahim Khan

Journal of Mathematics, 2025, vol. 2025, 1-8

Abstract: In this paper, we prove some common fixed point theorems for order contractive mappings on a σ-complete vector lattice. We apply new results to study the well-posedness of a common fixed point problem for two contractive mappings. Our proofs are simple and purely order-theoretic in nature. Consequently, the shadowing property and Ulam–Hyers stability of a common fixed point problem are studied. The existence of the solution of an integral equation is obtained as an application of our main result.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9994453

DOI: 10.1155/jom/9994453

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