Caristi type fixed point theorems in fuzzy metric spaces

Year 2019, Volume: 48 Issue: 1, 75 - 86, 01.02.2019

Hakan Karayılan Mustafa Telci

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

Caristi's fixed point theorem, fixed point, fuzzy metric space, $p$-complete fuzzy metric space

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