on ideal convergence of triple sequences in intuitionistic Fuzzy normed space defined by compact operator

Abstract

The main purpose of this article is to introduce and study some new spaces of I-convergence of triple sequences in intuitionistic fuzzy normed space defined by compact operator i.e 3SI (μ,ν)(T ) and 3SI0(μ,ν)(T ) and examine some fundamental properties, fuzzy topology and verify inclusion relations lying under these spaces.

Euler Ideal convergence and its associated sequence spaces

“…Ideal convergence is a gereralization of statistical convergence which was introduced by well known authors Fast and Steinhaus [7,17].Young researchers or scholars are suggested to go through deep analysis about the concept of usual convergence and Ideal convergence as both the concepts are independent. There are many sequences that are convergent but may not I-convergent.A large number of research work has been surfaced in the field of ideal convergent sequence spaces by many researchers, for further details one may refer [8,9,10].Furter, Ideal convergence likned with summability theory by Šalát et al [18,19] and develop some new ideas from the perspective of sequence spaces. To know more about this concept one may refer to [11,12,13] Let, for an infinite matrix T = (t nk ) of real or complex numbers t nk , where n, k ∈ N, the sequence defined as…”