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

Key Points

• The study establishes common fixed point theorems for order contractive mappings on a σ-complete vector lattice, indicating new applications in stability.
• Key findings include the well-posedness of a common fixed point problem for two contractive mappings, emphasizing its practical significance in mathematical analysis.
• Proofs presented are straightforward and rely entirely on order-theoretic principles, demonstrating the depth of the results uncovered.
• Applications of these findings include the existence of solutions for integral equations, suggesting a broader relevance in the context of fixed point theorems.