On lacunary Δ^m-statistical convergence of triple sequence in intuitionisticfuzzy normed space

Authors

  • T. Jalal National Institute of Technology, India
  • A.H. Jan National Institute of Technology, India

DOI:

https://doi.org/10.31926/but.mif.2024.4.66.1.7

Keywords:

Statistical convergence, Lacunary Δm-statistical convergence, Triple Sequence, Intuitionistic fuzzy normed space

Abstract

In this study, we define lacunary Δm-statistical convergence in the framework of intuitionistic fuzzy normed spaces (IFNS) for triple sequences. We prove several results for lacunary Δm-statistical convergence of triple sequence in IFNS. We further established lacunary Δm-statistical Cauchy sequences and provided the Cauchy convergence criterion for this novel idea of convergence.

Author Biographies

T. Jalal, National Institute of Technology, India

Department of Mathematics, Hazratbal, Srinagar -190006, Jammu and Kashmir

A.H. Jan, National Institute of Technology, India

Asif Hussain Jan, Department of Mathematics, Hazratbal, Srinagar -190006, Jammu and Kashmir

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Published

2024-05-15

Issue

Vol. 4(66) No. 1 (2024)

Section

MATHEMATICS