The generalized fixed point theorem in fuzzy metric spaces and its application to an integral equation
Résumé
This paper presents a generalized fixed-point theorem in fuzzy metric spaces using an implicit relation to unify different contraction types. Based on continuous t-norms, the result extends previous work and includes corollaries demonstrating its generality. The approach simplifies analysis by eliminating separate proofs for each contraction type, while an application to integral equations demonstrates its practical utility, guaranteeing existence and uniqueness of solutions under specific conditions.
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Références
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