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On lacunary $\Delta^{m}$-statistical convergence of triple sequence in intuitionistic fuzzy n-normed space

TANWEER JALAL|Asif Hussain Jan
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2023.09|한국수학논문집 (Korean Journal of Mathematics)|제31권 제3호|pp. 349-361

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참고문헌

키워드

Statistical convergenceLacunary $Delta^{m}$-statistical convergenceTriple SequenceIntuitionistic fuzzy n-normed space.
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초록

In this article, we construct lacunary $\Delta^m$-statistical convergence for triple sequences within the context of intuitionistic fuzzy n-normed spaces (IFnNS). For lacunary $\Delta^m$-statistical convergence of triple sequence in IFnNS, we demonstrate numerous results. For this innovative notion of convergence, we further built lacunary $\Delta^m$-statistical Cauchy sequences and offered the Cauchy convergence criterion.

Abstract

In this article, we construct lacunary $\Delta^m$-statistical convergence for triple sequences within the context of intuitionistic fuzzy n-normed spaces (IFnNS). For lacunary $\Delta^m$-statistical convergence of triple sequence in IFnNS, we demonstrate numerous results. For this innovative notion of convergence, we further built lacunary $\Delta^m$-statistical Cauchy sequences and offered the Cauchy convergence criterion.

참고문헌 (28)

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