TY - JOUR
T1 - Riesz ideal convergence in neutrosophic normed spaces
AU - Khan, Vakeel A.
AU - Arshad, Mohammad
AU - Alam, Masood
N1 - Publisher Copyright:
© 2023 - IOS Press. All rights reserved.
PY - 2023/5/4
Y1 - 2023/5/4
N2 - 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.
AB - 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.
KW - I-convergence
KW - Ideal, I-convergence
KW - Neutrosophic normed space
KW - Riesz I-convergence in NNS,
KW - Riesz I-convergence in NNS
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U2 - 10.3233/JIFS-224035
DO - 10.3233/JIFS-224035
M3 - Article
AN - SCOPUS:85166392197
SN - 1064-1246
VL - 44
SP - 7775
EP - 7784
JO - Journal of Intelligent and Fuzzy Systems
JF - Journal of Intelligent and Fuzzy Systems
IS - 5
ER -