On (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed space

Abstract

In this paper, we study and introduce a new type of convergence, namely (λ,μ)- Zweier convergence and (λ,μ)- Zweier ideal convergence of double sequences x = (xij) in intuitionistic fuzzy normed space (IFNS), where λ = (λn) and μ= (μm) are two non-decreasing sequences of positive real numbers such that each tending to infinity. Furthermore, we studied (λ,μ)- Zweier Cauchy and (λ,μ)- Zweier ideal Cauchy sequences on the said space and established a relation between them.

Keywords

• ideal convergence
• zweier operator
• (λ,μ)- convergence
• intuitionistic fuzzy normed spaces