Common Fixed Point Theorems for Order Contractive Mappings on a σ-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. Consequen...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/9994453 |
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| Summary: | 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. |
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| ISSN: | 2314-4785 |