Thursday, 29 August 2019

On Lacunary Statistical Convergence and Some Properties in Fuzzy N-Normed Spaces

Volume 7 Issue 3 July - September 2018

Research Paper

On Lacunary Statistical Convergence and Some Properties in Fuzzy N-Normed Spaces

Muhammed Recai Türkmen*
Assistant Professor, Department of Mathematics and Science Education, The Afyon Kocatepe University, Turkey.
Türkmen, M. R. (2018). On Lacunary Statistical Convergence and Some Properties in Fuzzy N-Normed Spaces, i-manager's Journal on Mathematics, 7(3), 1-9. https://doi.org/10.26634/jmat.7.3.14868

Abstract

In this paper, the author has introduced the concept of lacunary summable and lacunary statistical convergence in fuzzy n-normed spaces. At the same time, the author has introduced condition of being lacunary statistically Cauchy sequence with respect to a fuzzy n-norm. The author has also studied the relation between these concepts and gave some properties of lacunary statistical convergence sequences in fuzzy n-normed spaces.

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