On Casaro Sequence Space of Fuzzy Numbers Defined by a Modulus Function

Abstract The main purpose of this paper is to introduce the sequence space ces F (f, p) of sequence of fuzzy numbers defined by a modulus function. Furthermore, some inclusion theorems have been discussed

A Study of Fuzzy Sequence Spaces

The purpose of this chapter is to introduce and study some new ideal convergence sequence spaces FSJθT, FS0JθT and FS∞JθT on a fuzzy real number F defined by a compact operator T. We investigate algebraic properties like linearity, solidness and monotinicity with some important examples. Further, we also analyze closedness of the subspace and inclusion relations on the said spaces

SPACES OF FIBONACCI DIFFERENCE IDEAL CONVERGENT SEQUENCES IN RANDOM 2–NORMED SPACE

In this article, by using Fibonacci difference matrix  and the notion of ideal convergence of sequences in random 2–normed space, we introduce some new spaces of Fibonacci difference ideal convergent sequences with respect to random -norm and study some inclusion relations, topological and algebraic properties of these spaces.

On I-convergent sequence spaces defined by a compact operator and a modulus function

In this article, we introduce and study I-convergent sequence spaces I (f ), with the help of compact operator T on the real space ℝ and a modulus function f . We study some topological and algebraic properties, and prove some inclusion relations on these spaces