Displaying similar documents to “Extended contraction principle.”

Common fixed point theorems for fuzzy mappings

R. A. Rashwan, Magdy A. Ahmed (2002)

Archivum Mathematicum

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In this paper, we prove common fixed point theorems for fuzzy mappings satisfying a new inequality initiated by Constantin [6] in complete metric spaces.

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

Naser Abbasi, Hamid Mottaghi Golshan (2016)

Kybernetika

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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.