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

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