i-manager Publications

On Some Properties Of Closability Of FarthestPoint Maps In Fuzzy n-Normed Spaces

Muhammed Recai Turkmen *, Hakan EFE**

* Department of Mathematics, Faculty of Science and Arts, Mus Alparslan University, Guzeltepe, Mus, Turkey.

** Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, Ankara, Turkey.

Periodicity:October - December'2013
DOI : https://doi.org/10.26634/jmat.2.4.2613

Abstract

In this paper, we study farthest point map in fuzzy n - normed spaces. Firstly, we give some definitions about fuzzy n - normed space and we present some examples by using this definitions. Secondly, we study farthest point map in fuzzy n - normed spaces and we redefine some some definitions by using previous definitions. Moreover, we abtain fuzzy uniquelly remotal associated singleton. Additionally, we give some relations about - convergent sequences in fuzzy n - normed spaces. Finally, we show that fuzzy - farthest point map is closable and characterize some properties of the closability of farthest point map in fuzzy n - normed spaces and prove some theorems. 2010 Mathematics Subject Classification: 46A30, 46A70, 54A40.

Keywords

n - Normed Spaces, Fuzzy n -norms, Farthest Point Maps.

How to Cite this Article?

Turkmen, M.R., and Efe, H. (2013). On Some Properties of Closability Of Farthest Point Maps in Fuzzy N-Normed Spaces. i-manager’s Journal on Mathematics, 2(4), 33-38. https://doi.org/10.26634/jmat.2.4.2613

References

[1]. Bag, T. and Samanta, S. K., Finite dimensional fuzzy normed linear spaces, J. Fuzzy Math. 11 (3) (2003), 687-705.

[2]. Bag, T. and Samanta, S. K., Fuzzy bounded linear operators, Fuzzy Sets and Systems, 151 (2005), 513-547.

[3]. Mirmostafaee, A.K. and Mirzavaziri, M., Closability of farthest point map in fuzzy normed spaces ,Bulletin of Mathematical Analysis and Applications, 2 (4) (2010), 140-145.

[4]. Gähler, S., Lineare 2-normierte Räume, Math.Nachr. 28 (1964), 1-43.

[5]. Gähler, S., Untersuchungen über verallgemeinerte m -metrische Räume, I, Math.Nachr. 40 (1969), 165-189.

[6]. Gunawan, H. and Mashadi, M., On n-normed spaces, Int. J. Math. Math. Sci. 27 (10) (2001), 631-639.

[7]. Al. Narayanan and Vijayabalaji, S., Fuzzy n-normed linear space, Int. J. Math. Math. Sci. 24 (2005), 3963-3977.

[8]. Vijayabalaji, S., and Thillaigovindan, N., Complete fuzzy n-normed linear space, Journal of Fundamental Sci. 3 (1) (2007), 119-126.

[9]. Malceski, R., Strong n-convex n-normed spaces, Mat. Bilten 21 (47) (1997), 81-102.

[10]. Misiak, A. , n-inner product spaces, Math.Nachr. 140 (1989), 299-319.

If you have access to this article please login to view the article or kindly login to purchase the article

Single Article

	North Americas,UK, Middle East,Europe		India	Rest of world
	USD	EUR	INR	USD-ROW
Online	15	15

ADD TO CART

Options for accessing this content:

If you would like institutional access to this content, please recommend the title to your librarian.
If you already have i-manager's user account: Login above and proceed to purchase the article.
New Users: Please register, then proceed to purchase the article.