Common Fixed Point Theorem for a Pair of Mappings via Rational Expression in Fuzzy Cone Metric Spaces with an Application

Key Points

• The aim is to prove a common fixed point theorem for two mappings under fuzzy cone metric spaces.
• Established a theorem using rational-type fuzzy cone contraction conditions.
• Provided illustrative examples to support the theorem.
• Demonstrated the application to Fredholm integral equations.
• The theorem presents new conditions for common fixed points in mappings under fuzzy cone metrics.
• Examples illustrate the practical application of these conditions in mathematical problems.