TY - JOUR
T1 - Quasi Statistical Convergence of Double Sequences in Neutrosophic Normed Spaces
AU - Choudhury , Chiranjib
AU - Granados , Carlos
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 704
EP - 719
PY - 2025
DA - 2025/04
SN - 7
DO - http://doi.org/10.12150/jnma.2025.704
UR - https://global-sci.org/intro/article_detail/jnma/24023.html
KW - Quasi-density, quasi statistical convergence of double sequences,
neutrosophic normed space.
AB - <p style="text-align: justify;">In this paper, we introduce the notion of quasi statistical convergence of double sequences in the neutrosophic normed spaces mainly as a
generalization of statistical convergence of double sequences. We investigate a
few fundamental properties of the newly introduced notion and examine the
relationship with statistical convergence of double sequences in the neutrosophic normed spaces. In the end, we introduce the concept of quasi statistical
Cauchy sequence of double sequences and show that quasi statistical Cauchy
sequences for double sequences are equivalent to quasi statistical convergent
double sequences in the neutrosophic normed spaces.</p>