The comparative study of gradual and fuzzy normed linear spaces

Sadeqi, Ildar; Azari, Farnaz Y.

doi:10.3233/ifs-151843

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ö Kişi C Choudhury1

Definition 1 [23]1

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2017

2023

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Cited by 2 publications

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“…In 2011, Sadeqi and Azari [33] were the first to introduce the concept of gradual normed linear space. They studied various properties from both the algebraic and topological points of view.…”

Section: ö Kişi C Choudhurymentioning

confidence: 99%

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CERTAIN ASPECTS OF Xrst(G)-CONVERGENCE OF SEQUENCES IN GRADUAL NORMED LINEAR SPACES

Kiși,

Choudhury

2023

AnnalsARSciMath

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In the present article, we set forth with the new notion of rough A—statistical convergence in the gradual normed linear spaces. We produce significant results that present several fundamental properties of this notion. We also introduce the notion of Arst(G)—limit set and prove that it is convex, gradually closed, and plays an important role for the gradually A—statistical boundedness of a sequence.

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Section: ö Kişi C Choudhurymentioning

confidence: 99%

“…Certain aspects of λ r st (G)−convergence of sequences 523 Definition 3. [33] Let X be a real vector space. The function • G : X → G * (R) is said to be a gradual norm on X, if for every 0 < ϕ ≤ 1, the following conditions are true for any x 0 , y 0 ∈ X:…”

Section: Definition 1 [23]mentioning

confidence: 99%