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Algorithms
Volume 15
Issue 5
10.3390/a15050141
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Article

Proving Fixed-Point Theorems Employing Fuzzy (σ,𝒵)-Contractive-Type Mappings

by
Hayel N. Saleh
1,2,*,†,
Mohammad Imdad
1,†,
Salvatore Sessa
3,*,† and
Ferdinando Di Martino
3,†
1
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
2
Department of Mathematics, Taiz University, Taiz 6803, Yemen
3
Dipartimento di Architettura, Università degli Studi di Napoli Federico II, Via Toledo 402, 80134 Napoli, Italy
*
Authors to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Algorithms 2022, 15(5), 141; https://doi.org/10.3390/a15050141
Submission received: 14 February 2022 / Revised: 29 March 2022 / Accepted: 15 April 2022 / Published: 22 April 2022
(This article belongs to the Special Issue Recent Advances in Fuzzy Set Theory)
Versions Notes

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.
Keywords: fuzzy (σ,𝒵-contractive mappings; fuzzy metric spaces; fuzzy 𝒵-contractive mappings fuzzy (σ,𝒵-contractive mappings; fuzzy metric spaces; fuzzy 𝒵-contractive mappings

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MDPI and ACS Style

Saleh, H.N.; Imdad, M.; Sessa, S.; Di Martino, F. Proving Fixed-Point Theorems Employing Fuzzy (σ,𝒵)-Contractive-Type Mappings. Algorithms 2022, 15, 141. https://doi.org/10.3390/a15050141

AMA Style

Saleh HN, Imdad M, Sessa S, Di Martino F. Proving Fixed-Point Theorems Employing Fuzzy (σ,𝒵)-Contractive-Type Mappings. Algorithms. 2022; 15(5):141. https://doi.org/10.3390/a15050141

Chicago/Turabian Style

Saleh, Hayel N., Mohammad Imdad, Salvatore Sessa, and Ferdinando Di Martino. 2022. "Proving Fixed-Point Theorems Employing Fuzzy (σ,𝒵)-Contractive-Type Mappings" Algorithms 15, no. 5: 141. https://doi.org/10.3390/a15050141

APA Style

Saleh, H. N., Imdad, M., Sessa, S., & Di Martino, F. (2022). Proving Fixed-Point Theorems Employing Fuzzy (σ,𝒵)-Contractive-Type Mappings. Algorithms, 15(5), 141. https://doi.org/10.3390/a15050141

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