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

Author

Listed:
  • Min Wang
  • Mujahid Abbas
  • Mi Zhou
  • Abdul Rahim Khan

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.

Suggested Citation

  • Min Wang & Mujahid Abbas & Mi Zhou & Abdul Rahim Khan, 2025. "Common Fixed Point Theorems for Order Contractive Mappings on a σ-Complete Vector Lattice," Journal of Mathematics, Hindawi, vol. 2025, pages 1-8, August.
    • Handle: RePEc:hin:jjmath:9994453
    DOI: 10.1155/jom/9994453
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