Geodesic
Some topological properties of fuzzy cone metric spaces
Öner, Tarkan1
1 Department of Mathematics, Faculty of Sciences, Muğla Sıtkı Koçman University, 48000 Mugla, Turkey
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 3, p. 799-805.

Voir la notice de l'article provenant de la source International Scientific Research Publications

We prove Baire's theorem for fuzzy cone metric spaces in the sense of Öner et al. [T. Öner, M. B. Kandemir, B. Tanay, J. Nonlinear Sci. Appl., 8 (2015), 610-616]. A necessary and sufficient condition for a fuzzy cone metric space to be precompact is given. We also show that every separable fuzzy cone metric space is second countable and that a subspace of a separable fuzzy cone metric space is separable.
DOI : 10.22436/jnsa.009.03.08
Classification : 54A40, 54E35, 54E15, 54H25
Keywords: Fuzzy cone metric space, Baire's theorem, separable, second countable.

Öner, Tarkan 1

1 Department of Mathematics, Faculty of Sciences, Muğla Sıtkı Koçman University, 48000 Mugla, Turkey 
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Öner, Tarkan. Some topological properties of fuzzy cone metric spaces. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 3, p. 799-805. doi : 10.22436/jnsa.009.03.08. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.03.08/

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