Fuzzy real valued I-convergent double sequences in fuzzy normed spaces

Hazarika, Bipan; Kumar, Vijay

doi:10.3233/ifs-130905

Cited by 14 publications

(4 citation statements)

References 47 publications

(47 reference statements)

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“…The notion of deal convergence was introduced first by Kostyrko et al [24] as a generalization of statistical convergence which was further studied in toplogical spaces by Kumar et al[25,26] and also more applications of ideals can be deals with various authors by B.Hazarika [27][28][29][30][31][32][33][34][35][36][37][38][39] and B.C.Tripathy and B. Hazarika [40][41][42][43].…”

Section: Definition 1 Let X Be a Linear Metric Space A Functionmentioning

confidence: 99%

The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function

Nagarajan¹,

Mishra²,

Rai³

2016

ntmsci

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In this article we introduce the sequence spaces χ 2q f µ , (d (x 1 , 0) , d (x 2 , 0) , • • • , d (x n−1 , 0)) p I(F) and Λ 2q f µ , (d (x 1 , 0) , d (x 2 , 0) , • • • , d (x n−1 , 0)) p I(F) , associated with the integrated sequence space defined by Musielak. We study some basic topological and algebraic properties of these spaces. We also investigate some inclusion relations related to these spaces.

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Section: Definition 1 Let X Be a Linear Metric Space A Functionmentioning

confidence: 99%

The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function

Nagarajan¹,

Mishra²,

Rai³

2016

ntmsci

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“…In [16], Savas and Das extended the conception of ideal convergence as studied by Kostyrko et al [14] to I -statistical convergence and examined remarkable basic features of it. For different studies on these topics, we refer to [17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

New Results on $I_{2}$ -Statistically Limit Points and

Kı̇şı̇

Huban

Gürdal

2021

Journal of Function Spaces

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In this paper, some existing theories on convergence of fuzzy number sequences are extended to I 2 -statistical convergence of fuzzy number sequence. Also, we broaden the notions of I -statistical limit points and I -statistical cluster points of a sequence of fuzzy numbers to I 2 -statistical limit points and I 2 -statistical cluster points of a double sequence of fuzzy numbers. Also, the researchers focus on important fundamental features of the set of all I 2 -statistical cluster points and the set of all I 2 -statistical limit points of a double sequence of fuzzy numbers and examine the relationship between them.

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“…Dündar and Talo [15,16] introduced the concepts of I 2 -convergence and I 2 -Cauchy sequence for double sequences of fuzzy numbers and studied some properties and relations of them. Hazarika and Kumar [17] introduced the notion of I 2 -convergence and I 2 -Cauchy double sequences in a fuzzy normed linear space. Dündar and Türkmen [18] studied some properties of I 2 -convergence and I * 2 -convergence of double sequences in fuzzy normed spaces.…”

Section: Introductionmentioning

confidence: 99%