Metrical Characterization of Super-reflexivity and Linear Type of Banach Spaces

FUZZY REFLEXIVITY OF FELBIN'S TYPE FUZZY NORMED LINEAR SPACES AND FIXED POINT THEOREMS IN SUCH SPACES

An idea of fuzzy reexivity of Felbin's type fuzzy normed linear spaces is introduced and its properties are studied. Concept of fuzzy uniform normal structure is given and using the geometric properties of this concept xed point theorems are proved in fuzzy normed linear spaces.

Multi - Dimensional Volumes , Super - Reflexivity and Normal Structure in Banach Spaces

The notion of the n-dimensional volume enclosed by n + vectors in a Banaeh space, E, was introduced by Silverman [12], and some of the connections between higher dimensional volumes and geometric properties of E were studied in [13] and [6]. In particular, it was shown that a kuniformly rotund Banach space is super-reflexive and has normal structure. (Definitions are given below.) The present p...

A Geometrical Characterization of Reflexivity in Banach Spaces

ON FELBIN’S-TYPE FUZZY NORMED LINEAR SPACES AND FUZZY BOUNDED OPERATORS

In this note, we aim to present some properties of the space of all weakly fuzzy bounded linear operators, with the Bag and Samanta’s operator norm on Felbin’s-type fuzzy normed spaces. In particular, the completeness of this space is studied. By some counterexamples, it is shown that the inverse mapping theorem and the Banach-Steinhaus’s theorem, are not valid for this fuzzy setting. Also...

Asymptotic aspect of quadratic functional equations and super stability of higher derivations in multi-fuzzy normed spaces

In this paper, we introduce the notion of multi-fuzzy normed spaces and establish an asymptotic behavior of the quadratic functional equations in the setup of such spaces. We then investigate the superstability of strongly higher derivations in the framework of multi-fuzzy Banach algebras