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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …