Some New Type of Lacunary Statistically Convergent Sequences In Neutrosophic Normed Space

Abstract

The idea of statistical convergence was introduced by Fast [H.Fast, Sur la convergence statistique,Colloq. Math. 2 (1951) 241–244] afterwards studied by many authors. In [J.A. Fridy, C. Orhan, Lacunarystatistical convergence, Pacific J. Math. 160 (1993) 43–51],Fridy and Orhan proposed the concept of lacunarystatistical convergence. In present paper, we introduce lacunary statistically convergent in neutrosophic normedspace (brifly, NNS). We define the concept of lacunary statistical Cauchy sequence in NNS and derive the rela-tion between statistical completness and completeness in NNS . We give some basic properties of these concepts.