The generalized fixed point theorem in fuzzy metric spaces and its application to an integral equation
Resumen
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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Derechos de autor 2025 Boletim da Sociedade Paranaense de Matemática
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