Neutrosophic 2−normed spaces and generalized summability

Abstract

The aim of present paper is to introduce the concept of neutrosophic 2−norm space ( briefly abbreviated as N −2−NS) and study statistical summability in these spaces. We construct examples to demonstrate that statistical convergence is stronger method than usual convergence. Finally, we define statistically Cauchy sequence, statistical completeness and obtain the Cauchy convergence criteria.

Keywords

• neutrosophic norm spaces
• statistical convergence
• statistical completeness
• neutrosophic 2-norm spaces