On Sθ-summability in neutrosophic-2-normed spaces

Abstract

In the present paper, we aim to define Sθ-summability in neutrosophic 2-normed spaces and study some of its properties. We provide examples that shows our method of summability is stronger in these spaces. Finally we introduce Sθ-Cauchy and Sθ-completeness and prove that every neutrosophic-2-normed spaces is Sθ-complete.

Keywords

• sθ-convergence
• sθ-cauchy
• lacunary sequence
• neutrosophic-2-normed spaces