Suzuki type fuzzy 𝒵 -contractive mappings and fixed points in fuzzy metric spaces

Dhananjay Gopal; Juan Martínez-Moreno

Kybernetika (2021)

  • Volume: 57, Issue: 6, page 908-921
  • ISSN: 0023-5954

Abstract

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In this paper, we propose the concept of Suzuki type fuzzy 𝒵 -contractive mappings, which is a generalization of Fuzzy 𝒵 -contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in G -complete as well as M -complete fuzzy metric spaces. A comprehensive set of examples are furnished to demonstrate the validity of the obtained results.

How to cite

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Gopal, Dhananjay, and Martínez-Moreno, Juan. "Suzuki type fuzzy $\mathcal {Z}$-contractive mappings and fixed points in fuzzy metric spaces." Kybernetika 57.6 (2021): 908-921. <http://eudml.org/doc/297838>.

@article{Gopal2021,
abstract = {In this paper, we propose the concept of Suzuki type fuzzy $\mathcal \{Z\}$-contractive mappings, which is a generalization of Fuzzy $\mathcal \{Z\}$-contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in $G$-complete as well as $M$-complete fuzzy metric spaces. A comprehensive set of examples are furnished to demonstrate the validity of the obtained results.},
author = {Gopal, Dhananjay, Martínez-Moreno, Juan},
journal = {Kybernetika},
keywords = {fuzzy metric space; fuzzy $\mathcal \{Z\}$-contractive mapping; Suzuki type fuzzy $\mathcal \{Z\}$-contractive mappings; fixed point},
language = {eng},
number = {6},
pages = {908-921},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Suzuki type fuzzy $\mathcal \{Z\}$-contractive mappings and fixed points in fuzzy metric spaces},
url = {http://eudml.org/doc/297838},
volume = {57},
year = {2021},
}

TY - JOUR
AU - Gopal, Dhananjay
AU - Martínez-Moreno, Juan
TI - Suzuki type fuzzy $\mathcal {Z}$-contractive mappings and fixed points in fuzzy metric spaces
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
VL - 57
IS - 6
SP - 908
EP - 921
AB - In this paper, we propose the concept of Suzuki type fuzzy $\mathcal {Z}$-contractive mappings, which is a generalization of Fuzzy $\mathcal {Z}$-contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in $G$-complete as well as $M$-complete fuzzy metric spaces. A comprehensive set of examples are furnished to demonstrate the validity of the obtained results.
LA - eng
KW - fuzzy metric space; fuzzy $\mathcal {Z}$-contractive mapping; Suzuki type fuzzy $\mathcal {Z}$-contractive mappings; fixed point
UR - http://eudml.org/doc/297838
ER -

References

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