Wijsman regularly ideal convergence of double sequences of sets

Dündar, Erdínç; Akın, Nimet Pancaroğlu

doi:10.3233/jifs-190626

Cited by 5 publications

(1 citation statement)

References 22 publications

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“…Now we introduce logarithmic summability in IFNS and prove corresponding Tauberian theorems. For some other studies concerning logarithmic summability and convergence methods in fuzzy setting see [14][15][16][17][18][19][20][21][22][23][24][25][26].…”

Section: Resultsmentioning

confidence: 99%

On the Logarithmic Summability of Sequences in Intuitionistic Fuzzy Normed Spaces

Yavuz

2020

Fundamental Journal of Mathematics and Applications

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We introduce logarithmic summability in intuitionistic fuzzy normed spaces(IFNS) and give some Tauberian conditions for which logarithmic summability yields convergence in IFNS. Besides, we define the concept of slow oscillation with respect to logarithmic summability in IFNS, investigate its relation with the concept of q-boundedness and give Tauberian theorems by means of q-boundedness and slow oscillation with respect to logarithmic summability. A comparison theorem between Cesàro summability method and logarithmic summability method in IFNS is also proved in the paper. Definition 1.1. [6] The triplicate (N, µ, ν) is said to be an IFNS if N is a real vector space, and µ, ν are fuzzy sets on N × R satisfying the following conditions for every u, w ∈ N and t, s ∈ R:

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Section: Resultsmentioning

confidence: 99%

On the Logarithmic Summability of Sequences in Intuitionistic Fuzzy Normed Spaces

Yavuz

2020

Fundamental Journal of Mathematics and Applications

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Wijsman and Wijsman regularly triple ideal convergence sequences of sets

Granados

Osu

2022

Scientific African

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On $\mathcal{I}_{{\theta}_{2}}$-convergence in fuzzy normed spaces

Türkmen

2020

J Inequal Appl

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In this study, first, lacunary convergence of double sequences is introduced in fuzzy normed spaces, and basic definitions and theorems about lacunary convergence for double sequences are given in fuzzy normed spaces. Then, we introduce the concept of lacunary ideal convergence of double sequences in fuzzy normed spaces, and the relation between lacunary convergence and lacunary ideal convergence is investigated for double sequences in fuzzy normed spaces. Finally, in fuzzy normed spaces, we give the concept of limit point and cluster point for double sequences, and the theorems related to these concepts are given.

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Wijsman regularly ideal convergence of double sequences of sets

Cited by 5 publications

References 22 publications

On the Logarithmic Summability of Sequences in Intuitionistic Fuzzy Normed Spaces

On the Logarithmic Summability of Sequences in Intuitionistic Fuzzy Normed Spaces

Wijsman and Wijsman regularly triple ideal convergence sequences of sets

On $\mathcal{I}_{{\theta}_{2}}$-convergence in fuzzy normed spaces

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