Caristi's fixed point theorem and its equivalences in fuzzy metric spaces

Naser Abbasi; Hamid Mottaghi Golshan

Kybernetika (2016)

  • Volume: 52, Issue: 6, page 929-942
  • ISSN: 0023-5954

Abstract

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In this article, we extend Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem to fuzzy metric spaces in the sense of George and Veeramani [A. George , P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems. 64 (1994) 395-399]. Further, a direct simple proof of the equivalences among these theorems is provided.

How to cite

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Abbasi, Naser, and Mottaghi Golshan, Hamid. "Caristi's fixed point theorem and its equivalences in fuzzy metric spaces." Kybernetika 52.6 (2016): 929-942. <http://eudml.org/doc/287899>.

@article{Abbasi2016,
abstract = {In this article, we extend Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem to fuzzy metric spaces in the sense of George and Veeramani [A. George , P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems. 64 (1994) 395-399]. Further, a direct simple proof of the equivalences among these theorems is provided.},
author = {Abbasi, Naser, Mottaghi Golshan, Hamid},
journal = {Kybernetika},
keywords = {fuzzy metric space; Ekeland variational principle; Caristi's fixed point theorem; Takahashi's maximization theorem; best approximation; topology; fuzzy metric spaces},
language = {eng},
number = {6},
pages = {929-942},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Caristi's fixed point theorem and its equivalences in fuzzy metric spaces},
url = {http://eudml.org/doc/287899},
volume = {52},
year = {2016},
}

TY - JOUR
AU - Abbasi, Naser
AU - Mottaghi Golshan, Hamid
TI - Caristi's fixed point theorem and its equivalences in fuzzy metric spaces
JO - Kybernetika
PY - 2016
PB - Institute of Information Theory and Automation AS CR
VL - 52
IS - 6
SP - 929
EP - 942
AB - In this article, we extend Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem to fuzzy metric spaces in the sense of George and Veeramani [A. George , P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems. 64 (1994) 395-399]. Further, a direct simple proof of the equivalences among these theorems is provided.
LA - eng
KW - fuzzy metric space; Ekeland variational principle; Caristi's fixed point theorem; Takahashi's maximization theorem; best approximation; topology; fuzzy metric spaces
UR - http://eudml.org/doc/287899
ER -

References

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