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 language | English |
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Pages (from-to) | 7775-7784 |
Number of pages | 10 |
Journal | Journal of Intelligent and Fuzzy Systems |
Volume | 44 |
Issue number | 5 |
DOIs | |
Publication status | Published - 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