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Fixed-Point Results in Neutrosophic Normed Spaces

open access: yesTransactions 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   +2 more
doaj   +2 more sources

New Approach on Statistical Convergence of Triple Sequences in Neutrosophic Normed Spaces [PDF]

open access: yesNeutrosophic Sets and Systems
In this project the triple sequence’s statistical convergence within Neutrosophic normed space is proposed. Also, algebra of statistical limits and statistical cauchy sequences are discussed in this article. Furthermore, the article provides instances to
P. Jenifer , M. Jeyaraman
doaj   +3 more sources

Weighted Statistical Convergence in Neutrosophic Normed Linear Spaces [PDF]

open access: yesNeutrosophic 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

On Rough Statistical Convergence in Neutrosophic Normed Spaces [PDF]

open access: yesNeutrosophic 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   +2 more
doaj   +2 more sources

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

Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces

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

On Statistical Convergence of Order α in Neutrosophic Normed Spaces [PDF]

open access: yesNeutrosophic 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   +3 more
doaj   +1 more source

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

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

Neutrosophic normed spaces and statistical convergence

open access: yesThe 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   +4 more sources

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