Affiliation:
1. MUŞ ALPARSLAN ÜNİVERSİTESİ
2. Manisa Celal Bayar Üniversitesi
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.
Publisher
Journal of Mathematical Sciences and Modelling
Subject
Materials Chemistry,Economics and Econometrics,Media Technology,Forestry
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