On λ-statistical and Vλ-statistical summability in neutrosophic-2-normed spaces

Abstract

In the present paper, we aim to define λ-statistical summability, Vλ-statistical summability in neutrosophic-2-normed spaces (briefly called N − 2 − NS) and study some relationships among these notions. We give an example that shows λ-statistical summability is stronger method in neutrosophic-2-normed spaces. Finally, we define λ-statistically Cauchy sequence and λ-statistically completeness in neutrosophic-2-normed spaces and obtain the Cauchy convergence criteria in these spaces.

Keywords

• λ-statistical convergence
• vλ-summable
• λ-statistical cauchy
• neutrosophic-2-normed spaces