Results 31 to 40 of about 1,143,298 (120)

Neutrosophic Real Inner Product Spaces [PDF]

open access: yesNeutrosophic 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

A Study on Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces

open access: yesAxioms
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   +3 more
doaj   +2 more sources

On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces [PDF]

open access: yesSahand 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

Continuous and bounded linear operators in neutrosophic normed spaces

open access: yesJournal of Intelligent & 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   +3 more
openaire   +1 more source

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

open access: yesNeutrosophic 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   +2 more
doaj   +1 more source

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

open access: yesFundamental 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

Stability of mappings on multi-normed spaces [PDF]

open access: yes, 2007
In this paper, we define multi-normed spaces, and investigate some properties of multi-bounded mappings on multi-normed spaces. Moreover, we prove a generalized Hyers–Ulam–Rassias stability theorem associated to the Cauchy additive equation for mappings ...
Dales, H.G., Moslehian, Mohammad Sal
core   +3 more sources

Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]

open access: yes, 2010
The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Rahmat, Mohamad Rafi Segi   +1 more
core   +1 more source

Statistical Convergence of Double Sequences in Neutrosophic Normed Spaces

open access: yes, 2021
In this paper, we define and study the notion of statistically convergent and statistically Cauchy double sequences in neutrosophic normed spaces. Moreover, we give the double statistically Cauchy sequence in neutrosophic normed space and present the ...
Alok Dhital, Carlos Granados
core   +1 more source

Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation

open access: yesJournal 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

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