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Caristi type fixed point theorems in fuzzy metric spaces

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In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and Hicks to $p$-orbitally complete fuzzy metric spaces by considering the fuzzy metric spaces in the… Click to show full abstract

In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and Hicks to $p$-orbitally complete fuzzy metric spaces by considering the fuzzy metric spaces in the sense of George and Veeramani. We also give some illustrative examples that support our results.

Keywords: fuzzy metric; type fixed; metric spaces; caristi type; fixed point

Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2017

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