On $(\lambda, \mu)$ - Zweier Ideal Convergence in Intuitionistic Fuzzy Normed Space


Vakeel A. Khan, Mobeen Ahmad




In this paper, we study and introduce a new type of convergence, namely $(\lambda, \mu)$ - Zweier convergence and $(\lambda, \mu)$ - Zweier ideal convergence of double sequences $x = (x_{ij})$ in intuitionistic fuzzy normed space (IFNS), where $\lambda = (\lambda_n)$ and $\mu = (\mu_m)$ are two non-decreasing sequences of positive real numbers such that each tending to infinity. Furthermore, we studied$(\lambda, \mu)$ - Zweier Cauchy and $(\lambda, \mu)$ - Zweier ideal Cauchy sequences on the said space and established a relation between them.