Some Properties of Lacunary Convergence and Lacunary Ideal Convergence in Fuzzy Normed Spaces

Abstract

In this study, firstly lacunary convergence and lacunary ideal convergence is introduced in fuzzy normed spaces. Later, the relation between lacunary convergence and lacunary ideal convergence are investigated in fuzzy normed spaces. Finally, we have introduced the concept of $F\mathcal{I}_{\theta }-$ limit point, $F\mathcal{I}_{\theta }-$cluster point, $F\theta -$Cauchy sequence and $F\mathcal{I}_{\theta }-$Cauchy sequences have introduced in fuzzy normed space.