Lacunary Delta-statistical convergence in intuitionistic fuzzy n-normed space

Abstract

The concept of lacunary statistical convergence was introduced in intuitionistic fuzzy n-normed spaces in Sen and Debnath (Math. Comput. Model. 54: 2978-2985, 2011). In this article, we introduce the notion of lacunary Delta-statistically convergent and lacunary Delta-statistically Cauchy sequences in an intuitionistic fuzzy n-normed space. Also, we give their properties using lacunary density and prove relation between these notions.