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.
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

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