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 …

Convergence methods for double sequences and applications in neutrosophic normed spaces

O Kişi - Soft Computing Techniques in Engineering, Health …, 2021 - taylorfrancis.com
The aim of this chapter is to present and study some recent development in summability
theory and its applications. More recently, neutrosophic normed space (NNS) and the …

[HTML][HTML] Intuitionistic fuzzy n-normed algebra and continuous product

N Konwar, P Debnath - Proyecciones (Antofagasta), 2018 - SciELO Chile
In this paper we extend the notion of intuitionistic fuzzy 𝘯-normed linear space (IFnNLS) to
define an intuitionistic fuzzy n-normed algebra (IFnNA). We give a necessary and sufficient …