Results 11 to 20 of about 131 (103)

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   +5 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   +4 more sources

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).
Chandan Chaurasiya, Ayaz Ahmad, Hari Shankar, Ayhan Esi   +3 more
doaj   +4 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   +6 more sources

New Observation on Cesaro Summability in Neutrosophic -Normed Linear Spaces [PDF]

Neutrosophic Sets and Systems, 2023
We define Cesaro summability in a Neutrosophic 𝓃 -Normed Linear Space in this article. In a Neutrosophic 𝓃-Normed Linear Space, we show the Cesaro summability method to be regular, albeit this does not imply typical convergence in general.
P. Jenifer, M. Jeyaraman
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 study some of its properties. We provide examples that shows our method of summability is stronger in these spaces.
Sumaira Aslam, Archana Sharma, Vijay Kumar   +2 more
doaj   +2 more sources

A novel stability analysis of functional equation in neutrosophic normed spaces

Boundary Value Problems
The analysis of stability in functional equations (FEs) within neutrosophic normed spaces is a significant challenge due to the inherent uncertainties and complexities involved.
Ahmad Aloqaily, P. Agilan, K. Julietraja, S. Annadurai, Nabil Mlaiki   +4 more
doaj   +2 more sources

Fixed-Point Results in Neutrosophic Normed Spaces

Transactions on Fuzzy Sets and Systems
This paper investigates fixed-point theorems within the framework of neutrosophic normed spaces. We provide a novel proof of the Banach Contraction Principle, offering fresh insights into its applicability in neutrosophic environments.
Nirmal Sarkar, Jayanta Das, Ashoke Das   +2 more
doaj   +2 more sources

On some topological aspects in neutrosophic-2- normed spaces

Filomat, 2023
In present paper, we introduce the concepts of neutrosophic boundedness, neutrosophic compactness in neutrosophic 2-normed spaces and analyze some of their topological properties. We show that if the space is finite dimensional then any two neutrosophic 2-norms are equivalent.
Vijay Kumar, Sajid Murtaza, Archana Sharma   +2 more
openaire   +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   +2 more sources