Lacunary statistical convergence on L - fuzzy normed space

Author:

Yapali Reha1,Korkmaz Erdal1,Çinar Muhammed1,Çoskun Hüsamettin2

Affiliation:

1. Mathematics Department, Mus Alparslan University, Turkey

2. Mathematics Department, Manisa Celal Bayar University

Abstract

The idea of lacunary statistical convergence sequences, which is a development of statistical convergence, is examined and expanded in this study on L - fuzzy normed spaces, which is a generalization of fuzzy spaces. On L - fuzzy normed spaces, the definitions of lacunary statistical Cauchy and completeness, as well as associated theorems, are provided. The link between lacunary statistical Cauchyness and lacunary statistical boundedness with regard to L - fuzzy norm is also shown.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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