Asymptotic fuzzy contractive mappings in fuzzy metric spaces

Dhananjay Gopal; Juan Martínez-Moreno; Rosana Rodríguez-López

Kybernetika (2024)

  • Issue: 3, page 394-411
  • ISSN: 0023-5954

Abstract

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Fixed point theory in fuzzy metric spaces has grown to become an intensive field of research. However, due to the complexity involved in the nature of fuzzy metrics, the authors need to develop innovative machinery to establish new fixed point theorems in such kind of spaces. In this paper, we propose the concepts of asymptotic fuzzy ψ -contractive and asymptotic fuzzy Meir-Keeler mappings, and describe some new machinery by which the corresponding fixed point theorems are proved. In this sense, the techniques used for the proofs in Section 5 are completely new.

How to cite

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Gopal, Dhananjay, Martínez-Moreno, Juan, and Rodríguez-López, Rosana. "Asymptotic fuzzy contractive mappings in fuzzy metric spaces." Kybernetika (2024): 394-411. <http://eudml.org/doc/299287>.

@article{Gopal2024,
abstract = {Fixed point theory in fuzzy metric spaces has grown to become an intensive field of research. However, due to the complexity involved in the nature of fuzzy metrics, the authors need to develop innovative machinery to establish new fixed point theorems in such kind of spaces. In this paper, we propose the concepts of asymptotic fuzzy $\psi $-contractive and asymptotic fuzzy Meir-Keeler mappings, and describe some new machinery by which the corresponding fixed point theorems are proved. In this sense, the techniques used for the proofs in Section 5 are completely new.},
author = {Gopal, Dhananjay, Martínez-Moreno, Juan, Rodríguez-López, Rosana},
journal = {Kybernetika},
keywords = {fuzzy metric space; asymptotic fuzzy $\psi $-contractive mapping; asymptotic fuzzy Meir–Keeler mapping; fixed point},
language = {eng},
number = {3},
pages = {394-411},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Asymptotic fuzzy contractive mappings in fuzzy metric spaces},
url = {http://eudml.org/doc/299287},
year = {2024},
}

TY - JOUR
AU - Gopal, Dhananjay
AU - Martínez-Moreno, Juan
AU - Rodríguez-López, Rosana
TI - Asymptotic fuzzy contractive mappings in fuzzy metric spaces
JO - Kybernetika
PY - 2024
PB - Institute of Information Theory and Automation AS CR
IS - 3
SP - 394
EP - 411
AB - Fixed point theory in fuzzy metric spaces has grown to become an intensive field of research. However, due to the complexity involved in the nature of fuzzy metrics, the authors need to develop innovative machinery to establish new fixed point theorems in such kind of spaces. In this paper, we propose the concepts of asymptotic fuzzy $\psi $-contractive and asymptotic fuzzy Meir-Keeler mappings, and describe some new machinery by which the corresponding fixed point theorems are proved. In this sense, the techniques used for the proofs in Section 5 are completely new.
LA - eng
KW - fuzzy metric space; asymptotic fuzzy $\psi $-contractive mapping; asymptotic fuzzy Meir–Keeler mapping; fixed point
UR - http://eudml.org/doc/299287
ER -

References

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