Results 21 to 30 of about 3,994,529 (125)

Rough statistical convergence in neutrosophic normed spaces

Annals of Communications in Mathematics, 2023
Neutrosophic normed spaces, one of the recent hot issues in mathematics, are covered in this paper. The Neutrosophic approach is based on the idea that the degree of uncertainty should be taken into consideration and that it is insufficient to categorise problems in daily life as either right or wrong.
M. Jeyaraman and P. Jenifer
core   +4 more sources

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   +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

Sequences space ℓ𝑝 𝑁 of neutrosophic real numbers [PDF]

Songklanakarin Journal of Science and Technology (SJST)
The article reveals concept of ℓ𝑝 𝑁(𝑋), 1 ≤ 𝑝 < ∞, the p – absolutely summable neutrosophic valued sequence space. We have proved that it is a neutrosophic normed linear space valued sequence space.
Arghyadip Debroy, Runu Dhar, Binod Chandra Tripathy   +2 more
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 ψ(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   +4 more sources

On Rough Statistical Convergence in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
In 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, Meenakshi Chawla , Vijay Kumar   +2 more
doaj   +2 more sources

On Sθ-summability in neutrosophic-2-normed spaces [PDF]

Neutrosophic Sets and Systems
In the present paper, we aim to define Sθ-summability in neutrosophic 2-normed spaces and studysome of its properties. We provide examples that shows our method of summability is stronger in these spaces.Finally we introduce Sθ-Cauchy and Sθ-completeness and prove that every neutrosophic-2-normed spaces isSθ-complete.
Sumaira Aslam, Archana Sharma, Vijay Kumar   +2 more
openaire   +5 more sources

Completeness and Cartesian Product in Neutrosophic Rectangular n-Normed Spaces

Dera Natung Government College Research Journal
This study introduces the new concept of neutrosophic rectangular $n$-normed spaces, along with essential foundational definitions. It then explores the Cartesian product of such spaces and examines how this operation influences their structural ...
Mukhtar Ahmad, Mohammad Mursaleen
doaj   +3 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

On Ideal Convergence of Double Sequences in Neutrosophic Normed Spaces

Gulf Journal of Mathematics, 2023
In this paper, we introduce the notion of I2 and I∗2−convergence of double sequences in neutrosophic normed spaces mainly as a generalization of statistical convergence of double sequences. We investigate a few fundamental properties and study the relationship between the two notions.
Chiranjib Choudhury
exaly   +2 more sources