Riesz ideal convergence in neutrosophic normed spaces

Vakeel A. Khan*, Mohammad Arshad, Masood Alam

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we define concept of ideal(I) convergent sequences as a domain of regular Riesz triangular matrix and also using neutrosophic normed space. In neutrosophic normed spaces, we describe the idea of a generalization of the Riesz ideal convergence and the Riesz Cauchy sequence, and we also show certain aspects of these ideas. Finally, we define the concept of I-convergence in neutrosophic normed space and show that it is related to Riesz I-convergence in neutrosophic normed space. Moreover, we clearly show some results related to these theories and provide counterexamples.

Original languageEnglish
Pages (from-to)7775-7784
Number of pages10
JournalJournal of Intelligent and Fuzzy Systems
Volume44
Issue number5
DOIs
Publication statusPublished - May 4 2023

Keywords

  • I-convergence
  • Ideal, I-convergence
  • Neutrosophic normed space
  • Riesz I-convergence in NNS,
  • Riesz I-convergence in NNS

ASJC Scopus subject areas

  • Statistics and Probability
  • General Engineering
  • Artificial Intelligence

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