Geometric ZWEIER Convergent Lacunary Sequence Spaces

The main purpose of this paper is to introduce lacunary strong geometric zweier convergent sequence spaces $N_{\theta }^{0} \left[Z\left(G\right)\right]$,$N_{\theta } \left[Z\left(G\right)\right]$,$N_{\theta }^{\infty } \left[Z\left(G\right)\right]$consistingofallsequences$x=\left(x_{k} \right)$suchthat$\left[Z\left(G\right)\right]x$ are in the spaces $N_{\theta }^0,N_{\theta }\mathrm{a}\mathrm{n}\mathrm{d}{N}_{\theta }^{\mathrm{\infty }}$ respectively, which are normed. We prove certain topological properties of these spaces and compute their lacunary stastical zweier convergence.