Some Properties of Lacunary Convergence and Lacunary Ideal Convergence in Fuzzy Normed Spaces

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Konuralp Journal of Mathematics
Volume:8 Issue:2
Some Properties of Lacunary Convergence and Lacunary Ideal Convergence in Fuzzy Normed Spaces

Some Properties of Lacunary Convergence and Lacunary Ideal Convergence in Fuzzy Normed Spaces

Authors : Muhammed Recai TÜRKMEN

Pages : 343-348

View : 67 | Download : 14

Publication Date : 2020-10-27

Article Type : Research Paper

Abstract :In this study, firstly lacunary convergence and lacunary ideal convergence is introduced in fuzzy normed spaces. Later, the relation between lacunary convergence and lacunary ideal convergence are investigated in fuzzy normed spaces. Finally, we have introduced the concept of $F\mathcal{I}_{\theta }-$ limit point, $F\mathcal{I}_{\theta }-$cluster point, $F\theta -$Cauchy sequence and $F\mathcal{I}_{\theta }-$Cauchy sequences have introduced in fuzzy normed space.
Keywords : Statistical convergence, Fuzzy normed spaces, Lacunary convergence, I convergence, I Cauhy sequence

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