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

Abstract

In this paper, we introduce and study a new type of convergence which is namely $ (\lambda, \mu, \zeta) $-Zweier convergence and $ (\lambda, \mu, \zeta) $-Zweier ideal convergence of triple sequences $ x=(x_{ijk}) $ in intuitionistic fuzzy normed spaces (IFNS), where $ \lambda= (\lambda_{n}), \mu=(\mu_{m}) $ and $ \zeta = (\zeta_{p}) $ are three non-decreasing sequences of positive real numbers such that each tenting to infinity. Besides, we define and study $ (\lambda, \mu, \zeta) $-Zweier Cauchy and $ (\lambda, \mu, \zeta) $-Zweier ideal Cauchy sequences on the said space and establish some relations among them.