In this article, the concept of fuzzy (σ, Z)-contractive mappings is introduced in the setting of fuzzy metric spaces. Thereafter, we utilize our newly introduced concept to prove some existence and uniqueness theorems in M-complete fuzzy metric spaces. Our obtained theorems extend and generalize the corresponding results in the existing literature. Moreover, some examples are adopted to exhibit the utility of the newly obtained results
Proving Fixed-Point Theorems Employing Fuzzy (σ, Z)-Contractive-Type Mappings / Saleh, Hayel N.; Imdad, Mohammad; Sessa, Salvatore; DI MARTINO, Ferdinando. - In: ALGORITHMS. - ISSN 1999-4893. - 15:5(2022), p. 141. [10.3390/a15050141]
Proving Fixed-Point Theorems Employing Fuzzy (σ, Z)-Contractive-Type Mappings
Salvatore Sessa;Ferdinando Di Martino
2022
Abstract
In this article, the concept of fuzzy (σ, Z)-contractive mappings is introduced in the setting of fuzzy metric spaces. Thereafter, we utilize our newly introduced concept to prove some existence and uniqueness theorems in M-complete fuzzy metric spaces. Our obtained theorems extend and generalize the corresponding results in the existing literature. Moreover, some examples are adopted to exhibit the utility of the newly obtained results| File | Dimensione | Formato | |
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