Results 11 to 20 of about 122 (108)
On Rough Statistical Convergence in Neutrosophic Normed Spaces [PDF]
Neutrosophic Sets and SystemsIn this paper, we have presented rough statistical convergence of sequence on neutrosophic normed spaces as an important convergence criterion. As neutrosophication can handle partially dependent components, partially independent components and even ...
Reena Antal +2 more
doaj +2 more sources
Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces
Fuzzy Information and EngineeringThis study focuses on analyzing the convergence of the product of sequences and investigating the Cauchy sequences under specific conditions within neutrosophic normed linear spaces (NNLS).
Chandan Chaurasiya +3 more
doaj +2 more sources
Neutrosophic Real Inner Product Spaces [PDF]
Neutrosophic Sets and Systems, 2021 The objective of this work is to define for the first time the concept of inner product in a neutrosophic vector space and a refined neutrosophic vector space.
Mohammad Abobala
doaj +1 more source
Neutrosophic Triplet m-Banach Spaces [PDF]
Neutrosophic Sets and Systems, 2020 Neutrosophic triplet theory has an important place in neutrosophic theory. Since the neutrosophic triplet set (Nts), which have the feature of having multiple unit elements, have different units than the classical unit, they have more features than the ...
Abdullah Kargın +3 more
doaj +1 more source
On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence.
Shyamal Debnath +2 more
doaj +1 more source
On Statistical Convergence of Order α in Neutrosophic Normed Spaces [PDF]
Neutrosophic Sets and Systems, 2023 In this paper, we introduce the notion of statistical convergent of order α in the neutrosophic normed spaces. We investigate a few properties of the newly introduced notion and examine the relationship with statistical convergence in the neutrosophic ...
Shyamal Debnath +3 more
doaj +1 more source
Neutrosophic 2−normed spaces and generalized summability
Neutrosophic Sets and Systems, 2023 The aim of present paper is to introduce the concept of neutrosophic 2−norm space ( briefly abbreviated as N −2−NS) and study statistical summability in these spaces. We construct examples to demonstrate that statistical convergence is stronger method than usual convergence. Finally, we define statistically Cauchy sequence, statistical completeness and
Sajid Murtaza +2 more
openaire +2 more sources
On Triple Difference Sequences of Real Numbers in Neutrosophic Normed Spaces
Communications in Advanced Mathematical Sciences, 2022 The aim of this article is to investigate triple $\Delta $-statistical convergent sequences in a neutrosophic normed space (NNS). Also, we examine the notions of $\Delta $-statistical limit points and $\Delta $-statistical cluster points and prove their ...
Verda Gürdal, Ömer Kişi
doaj +1 more source
Some Topological Character of Neutrosophic normed spaces
Neutrosophic Sets and Systems, 2021 The concept of neutrosophic normed spaces was introduced by Murat Kirisci* and Necip Simsek [3]. In this paper, by using the compact operator (zj ) and the concept of statistical convergence. we introduce some neutrosophic statistical convergence of sequence spaces defined by compact operator and study of neutrosophic norm and derive the relation ...
Vakeel A. Khan, Mohammad Daud Khan
openaire +2 more sources
Neutrosophic normed spaces and statistical convergence
The Journal of Analysis, 2020 We define the neutrosophic normed space and the statistical convergence in neutrosophic normed space. We give the statistically Cauchy sequence in neutrosophic normed space and present the statistically completeness in connection with a neutrosophic normed space.
Kirişçi, Murat, Şimşek, Necip
openaire +4 more sources