Common Fixed Point Theorems for Order Contractive Mappings on a <i>σ</i> ‐Complete Vector Lattice
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.
Authors
- Mi Zhou (ORCID: https://orcid.org/0000-0002-6496-4824)
- Mujahid Abbas (ORCID: https://orcid.org/0000-0001-5528-1207)
- M.F. Wang (ORCID: https://orcid.org/0000-0002-9720-3271)
- Abdul Rahim Khan (ORCID: https://orcid.org/0000-0001-6695-0939)
Institutions
- University of the Punjab (PK)
- China Medical University (TW)
- University of Johannesburg (ZA)
- Muhammad Nawaz Shareef University of Agriculture (PK)
- Sanya University (CN)
- Hainan Tropical Ocean University (CN)
Publication Details
- Journal
- Journal of Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1155/jom/9994453
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00