Geodesic
Caristi's fixed point theorem and its equivalences in fuzzy metric spaces
Kybernetika, Tome 52 (2016) no. 6, pp. 929-942.

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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.
DOI : 10.14736/kyb-2016-6-0929
Classification : 47H10, 58E30
Keywords: fuzzy metric space; Ekeland variational principle; Caristi's fixed point theorem; Takahashi's maximization theorem 
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Abbasi, Naser; Mottaghi Golshan, Hamid. Caristi's fixed point theorem and its equivalences in fuzzy metric spaces. Kybernetika, Tome 52 (2016) no. 6, pp. 929-942. doi : 10.14736/kyb-2016-6-0929. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-6-0929/

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