On \(\mathcal{I}_{{\theta}_{2}}\) -convergence in fuzzy normed spaces

[摘要] In this study, first, lacunary convergence of double sequences is introduced in fuzzy normed spaces, and basic definitions and theorems about lacunary convergence for double sequences are given in fuzzy normed spaces. Then, we introduce the concept of lacunary ideal convergence of double sequences in fuzzy normed spaces, and the relation between lacunary convergence and lacunary ideal convergence is investigated for double sequences in fuzzy normed spaces. Finally, in fuzzy normed spaces, we give the concept of limit point and cluster point for double sequences, and the theorems related to these concepts are given.

[学科分类] 电力

[关键词] Statistical convergence;Fuzzy normed spaces;Lacunary convergence;\(\mathcal{I}\) -convergence;Double sequence