math. sci. appl. e-notes Mathematical Sciences and Applications E-Notes 2147-6268 Murat TOSUN 10.36753/mathenot.421335 THE RANDOM OF LACUNARY STATISTICAL ON χ^2 OVER p− METRIC SPACES DEFINED BY MUSIELAK Babu R. Subramanıan N. Thırunavukkarasu P. 10 30 2015 3 2 84 98 07 02 2014 Copyright © 2013, Mathematical Sciences and Applications E-Notes 2013 Mathematical Sciences and Applications E-Notes

Mursaleen introduced the concepts of statistical convergence inrandom 2-normed spaces. Recently Mohiuddine and Aiyup defined the notionof lacunary statistical convergence and lacunary statistical Cauchy in random2-normed spaces. In this paper, we define and study the notion of lacunarystatistical convergence and lacunary of statistical Cauchy sequences in randomon χ2 over p− metric spaces defined by Musielak and prove some theoremswhich generalizes Mohiuddine and Aiyup results.

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