Results 11 to 20 of about 154 (109)

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   +2 more sources

STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES IN NEUTROSOPHIC 2-NORMED SPACES [PDF]

Ural Mathematical Journal
In this paper, we have studied the notion of statistical convergence for double sequences in neutrosophic 2-normed spaces. Also, we have defined statistically Cauchy double sequences and statistically completeness for double sequences and investigated ...
Rahul Mondal, Nesar Hossain
doaj   +2 more sources

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   +4 more sources

A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
Ideal convergence of sequences in neutrosophic normed spaces is defined by ¨Omer Ki¸si [12]. This paper defines new sequence spaces using the Zweier matrix and neutrosophic norm.
Vakeel A Khan, Mohd Faisal
doaj   +2 more sources

Arithmetic statistically convergent on neutrosophic normed spaces

Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
This work is concerned with several important different types of convergence that will be described on neutrosophic normed spaces. In the study, arithmetic convergence was combined with different types of statistical convergence and then integrated into the structure of neutrophic spaces established through the membership function. For this purpose, in
GÖNÜL BİLGİN, Nazmiye
openaire   +3 more sources

The Role of Lacunary Statistical Convergence for Double sequences in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
This paper introduces and explores the concept of lacunary statistical convergence of double sequence within the framework neutrosophic normed spaces. Neutrosophic normed spaces extend classical normed spaces by incorporating neutrosophic numbers, which ...
Jenifer. P, Jeyaraman. M
doaj   +2 more sources

Topological Aspects of Set-Valued Mappings Defned on Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
Samarandache [43] introduced neutrosophoic sets to generalize the theory of fuzzy sets. In this paper we modify the definition of neutrosophic normed space with help of continuous neutrosophic t-representable norm. Then we study the statistical graphical
Vakeel A Khan, Mohd Kamran
doaj   +2 more sources

ateaux And Frechet Derivative In Neutrosophic Normed Linear Space

Neutrosophic Sets and Systems, 2023
In this study, we present the neutrosophic derivatives, the neutrosophic Gateaux derivative, and the neutrosophic Frechet derivative, and we examine some of their features. The relationship between the neutrophilic Frechet derivative and the neutrophilic Gateaux derivative is examined.
M. Jeyaraman, A.N. Mangayarkkarasi, V. Jeyanthi, M. Pandiselvi   +3 more
openaire   +3 more sources

Some results of neutrosophic normed space VIA Tribonacci convergent sequence spaces

Journal of Inequalities and Applications, 2022
The concept of Tribonacci sequence spaces by the domain of a regular Tribonacci matrix was introduced by Yaying and Hazarika (Math. Slovaca 70(3):697–706, 2000). In this paper, by using the domain of regular Tribonacci matrix T = ( t i k ) $T = (t _{ik} )
Vakeel A. Khan, Mohammad Arshad, Mohammad Daud Khan   +2 more
doaj   +2 more sources

Continuous and bounded linear operators in neutrosophic normed spaces

Journal of Intelligent and Fuzzy Systems, 2021
In this article, we show that the addition and scalar multiplication in neutrosophic normed spaces are continuous. The neutrosophic boundedness and continuity of linear operators between neutrosophic normed spaces are examined. Moreover, we analyzed that the set of all neutrosophic continuous linear operators and the set of all neutrosophic bounded ...
Vakeel A Khan, Ayhan Esi, Mobeen Ahmad
exaly   +2 more sources