Fuzzy cone metric spaces

Volume 8, Issue 5, pp 610--616 http://dx.doi.org/10.22436/jnsa.008.05.13

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Authors

Tarkan Öner - Department of Mathematics, Faculty of Sciences, Mugla Sitki Koçman University, 48000 Mugla, Turkey. Mustafa Burç Kandemir - Department of Mathematics, Faculty of Sciences, Mugla Sitki Koçman University, 48000 Mugla, Turkey. Bekir Tanay - Department of Mathematics, Faculty of Sciences, Mugla Sitki Koçman University, 48000 Mugla, Turkey.

Abstract

In this study, we define the fuzzy cone metric space, the topology induced by this space and some related results of them. Also we state and prove the fuzzy cone Banach contraction theorem.

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Keywords

• Cone metric space
• fuzzy metric space
• fuzzy cone metric space
• fuzzy cone contractive mapping

MSC

•  54A40
•  54E35
•  54E15
•  54H25

References

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