Reha YAPALIHüsamettin Çoşkun2024-07-242024-07-242023http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/26058On $mathscr{L}-$ fuzzy normed spaces, which is the generalization of fuzzy spaces, the notion of lacunary statistical convergence for double sequences which is a generalization of statistical convergence, are studied and developed in this paper. In addition, the definitions of lacunary statistical Cauchy and completeness for double sequences and related theorems are given on $mathscr{L}-$ fuzzy normed spaces. Also, the relationship of lacunary statistical Cauchyness and lacunary statistical boundedness for double sequences with respect to $mathscr{L}-$ fuzzy norm is shown.engAraştırma Makalesi10.33187/jmsm.1127905