Results 21 to 30 of about 132 (102)

Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces

Fuzzy Information and Engineering
This 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).
Ayaz Ahmad, Ayhan Esi
exaly   +3 more sources

Weighted Statistical Convergence in Neutrosophic Normed Linear Spaces [PDF]

Neutrosophic Sets and Systems
We also investigated its dependence on the NN( ˙ξ, ¨ζ, ...% ) in terms of statistical convergence and ( ¯N , Qn)-summability.
P. Jenifer, M. Jeyaraman, M. Mursaleen
doaj   +3 more sources

A Study on Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces

Axioms
In this paper, we introduce and study the concept of rough I–αβ–statistical convergence of order γ in neutrosophic normed spaces. This new mode of convergence combines the principles of rough convergence, statistical convergence with respect to an ideal,
Paul Sebastian Jenifer, Mathuraiveeran Jeyaraman, Saeid Jafari, Alexander Pigazzini   +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

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, Bijoy Das, Santonu Debnath, Chiranjib Choudhury   +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, Santonu Debnath, Chiranjib Choudhury   +2 more
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, Azize Dayan, İsmet Yıldız , Adil Kılıç   +3 more
doaj   +1 more source

On Sλ-summability in neutrosophic soft normed linear spaces [PDF]

Neutrosophic Sets and Systems, 2023
In present paper, we aim to define λ-statistical convergence, λ-statistical Cauchy and λ-statistical completeness of sequences in neutrosophic soft normed linear spaces (briefly called NSNLS).
Vijay Kumar, Inayat Rasool Ganaie, Archana Sharma   +2 more
doaj   +1 more source

On $\mathcal{I}_{\theta }$-convergence in Neutrosophic Normed Spaces

Fundamental Journal of Mathematics and Applications, 2021
The purpose of this article is to investigate lacunary ideal convergence of sequences in neutrosophic normed space (NNS). Also, an original notion, named lacunary convergence of sequence in NNS, is defined. Also, lacunary $% \mathcal{I}$-limit points and lacunary $\mathcal{I}$-cluster points of sequences in NNS have been examined. Furthermore, lacunary
Kişi, Ömer, Kişi, Ömer
openaire   +3 more sources

Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation

Journal of Inequalities and Applications, 2022
The article focuses on the introduction of neutrosophic continuity and neutrosophic boundedness, which is a fair extension of intuitionistic fuzzy continuity and intuitionistic fuzzy boundedness, respectively.
Vakeel A. Khan, Mohammad Daud Khan
doaj   +1 more source