- Journal of Mathematical Sciences and Modelling
- Vol: 6 Issue: 1
- Lacunary Statistical Convergence for Double Sequences on $\\mathscr{L}-$ Fuzzy Normed Space
Lacunary Statistical Convergence for Double Sequences on $\\mathscr{L}-$ Fuzzy Normed Space
Authors : Reha Yapali, Husamettin Coşkun
Pages : 24-31
Doi:10.33187/jmsm.1127905
View : 11 | Download : 2
Publication Date : 2023-04-30
Article Type : Research
Abstract :On $\\mathscr{L}-$ 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.Keywords : L −fuzzy normed space, Lacunary double sequences, Lacunary statistically convergence, Lacunary statistical boundedness, Lacunary statistical Cauchy