Certain summability methods in intuitionistic fuzzy normed spaces

E Savaş, M Gürdal - Journal of Intelligent & Fuzzy Systems, 2014 - content.iospress.com
In this paper, we introduce the notion of [TeX:] $\mathcal {I} $-statistical convergence and
[TeX:] $\mathcal {I} $-lacunary statistical convergence with respect to the intuitionistic fuzzy …

Some Results on Cesàro summability in Intuitionistic Fuzzy -normed linear Spaces

P Debnath - Sahand Communications in Mathematical …, 2022 - scma.maragheh.ac.ir
The concept of summability plays a central role in finding formal solutions of partial
differential equations. In this paper, we introduce the concept of Cesàro summability in an …

[PDF][PDF] A generalized statistical convergence in intuitionistic fuzzy normed spaces

E Savas, M Gürdal - Science Asia, 2015 - thaiscience.info
In this paper, we introduce the notion of-[V, λ]-summability and-λ-statistical convergence with
respect to the intuitionistic fuzzy norm (µ, v), investigate their relationship, and make some …

Continuity and Banach contraction principle in intuitionistic fuzzy n-normed linear spaces

N Konwar, P Debnath - Journal of Intelligent & Fuzzy Systems, 2017 - content.iospress.com
In classical functional analysis, continuous mappings are essential for the study of many
important theorems such as open mapping theorem, closed graph theorem and uniform …

Some new contractive conditions and related fixed point theorems in intuitionistic fuzzy n-Banach spaces

N Konwar, P Debnath - Journal of Intelligent & Fuzzy Systems, 2018 - content.iospress.com
In this paper we provide three new type of contractive conditions and establish fixed point
theorems related to them in the setting of an intuitionistic fuzzy n-Banach space. Our results …

Results on lacunary difference ideal convergence in intuitionistic fuzzy normed linear spaces

P Debnath - Journal of Intelligent & Fuzzy Systems, 2015 - content.iospress.com
The concept of lacunary ideal convergence in intuitionistic fuzzy normed linear space
(IFNLS) was introduced by the present author [P. Debnath, Lacunary ideal convergence in …

[PDF][PDF] Fibonacci lacunary statistical convergence in intuitionistic fuzzy normed linear spaces

O Kisi, I Tuzcuoglu - Journal of Progressive Research in Mathematics, 2020 - afmi.or.kr
In the current paper, we investigate the concept of Fibonacci lacunary statistical
convergence in intuitionistic fuzzy n-normed linear spaces which removes any ambiguity …

[PDF][PDF] A generalized statistical convergence in intuitionistic fuzzy n-normed linear spaces

P Debnath - Ann. Fuzzy Math. Inform, 2016 - afmi.or.kr
In the current paper we have given a new definition of convergence of sequences in an
intuitionistic fuzzy n-normed linear space (IFnNLS) which removes any ambiguity that could …

Approximation of new bounded operators in intuitionistic fuzzy n-Banach spaces

N Konwar, B Davvaz, P Debnath - Journal of Intelligent & …, 2018 - content.iospress.com
In this paper we study approximation properties (APs) and bounded approximation
properties (BAPs) in the setting of intuitionistic fuzzy n-Banach spaces (IFnBSs). Further, we …

Some results of calculus for functions having values in an intuitionistic fuzzy n-normed linear space

P Debnath, M Sen - Journal of Intelligent & Fuzzy Systems, 2014 - content.iospress.com
In this article we study the topological structure of an intuitionistic fuzzy n-normed linear
space (IFnNLS). We establish necessary and sufficient conditions for a sequence of …