On Some Fixed Point Results in E- Fuzzy Metric Spaces

Rachid Mecheraoui; Zoran D. Mitrovic; Vahid Parvaneh; Hassen Aydi; Naeem Saleem

doi:10.1155/2021/9196642

On Some Fixed Point Results in E- Fuzzy Metric Spaces

Rachid Mecheraoui, Zoran D. Mitrovic, Vahid Parvaneh^*, Hassen Aydi, Naeem Saleem

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In the existing literature, Banach contraction theorem as well as Meir-Keeler fixed point theorem were extended to fuzzy metric spaces. However, the existing extensions require strong additional assumptions. The purpose of this paper is to determine a class of fuzzy metric spaces in which both theorems remain true without the need of any additional condition. We demonstrate the wide validity of the new class.

Original language	English
Article number	9196642
Journal	Journal of Mathematics
Volume	2021
DOIs	https://doi.org/10.1155/2021/9196642
Publication status	Published - 2021
Externally published	Yes

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abstract = "In the existing literature, Banach contraction theorem as well as Meir-Keeler fixed point theorem were extended to fuzzy metric spaces. However, the existing extensions require strong additional assumptions. The purpose of this paper is to determine a class of fuzzy metric spaces in which both theorems remain true without the need of any additional condition. We demonstrate the wide validity of the new class.",

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AU - Parvaneh, Vahid

AU - Aydi, Hassen

AU - Saleem, Naeem

PY - 2021

Y1 - 2021

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AB - In the existing literature, Banach contraction theorem as well as Meir-Keeler fixed point theorem were extended to fuzzy metric spaces. However, the existing extensions require strong additional assumptions. The purpose of this paper is to determine a class of fuzzy metric spaces in which both theorems remain true without the need of any additional condition. We demonstrate the wide validity of the new class.

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DO - 10.1155/2021/9196642

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SN - 2314-4629

VL - 2021

JO - Journal of Mathematics

JF - Journal of Mathematics

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On Some Fixed Point Results in E- Fuzzy Metric Spaces

Abstract

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