Fixed point theorems for (\(\psi\circ\varphi\))-contractions in a fuzzy metric spaces

Volume 8, Issue 5, pp 687--694 http://dx.doi.org/10.22436/jnsa.008.05.21

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Authors

Muzeyyen Sangurlu - Department of Mathematics, Faculty of Science, University of Gazi, 06500-Teknikokullar, Ankara, Turkey. - Department of Mathematics, Faculty of Science and Arts, University of Giresun, Gazipasa, Giresun, Turkey. Duran Turkoglu - Department of Mathematics, Faculty of Science and Arts, University of Giresun, Gazipasa, Giresun, Turkey.

Abstract

In this paper we prove some common fixed point theorems for (\(\psi\circ\varphi\))− contractions in a fuzzy metric space. We offered a generalization of \(\varphi\)− contraction in fuzzy metric space. Our results generalize or improve many recent fixed point theorems in the literature.

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Keywords

• Fixed point theorem
• fuzzy metric spaces
• contractions

MSC

•  54H25
•  54A40
•  54E50

References

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