A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces

Abstract

Ideal convergence of sequences in neutrosophic normed spaces is defined by ¨ Omer Ki¸ si [12]. This
 paper defines new sequence spaces using the Zweier matrix and neutrosophic norm. We explore (λ,µ)-Zweier
 convergence, (λ,µ) ideal convergence of double sequences in neutrosophic norm. We show that a double se
quence that is (λ,µ)-Zweier convergent or ideal convergent has a unique limit with respect to neutrosophic
 norm. Additionally, we prove that (λ,µ)-Zweier ideal convergence is equivalent to (λ,µ)-Zweier ideal Cauchy
 for a double sequence in neutrosophic normed space.