MMN-821
On $\Lambda$-statistical convergence of order $\alpha$ in random 2-normed space
Abstract
Let $\lambda=(\lambda_n)$ be a non decreasing sequence of positive real numbers tending to $\infty$ with $\lambda_{n+1}\leq\lambda_{n}+1,\lambda_{1}=1.$ In the present paper, we introduce the notion of $\Lambda$-statistical convergence of order $\alpha$, $\Lambda$-statistical Cauchy sequences of order $\alpha$ in random 2-normed spaces and obtain some results. We display examples which shows our method of convergence is more general in random 2-normed space.
Vol. 16 (2015), No. 2, pp. 1003-1015
DOI: 10.18514/MMN.2015.821