On Cartesian Product of Sequence Spaces Related to Cone Metric Space Defined by Orlicz Functions

Abstract

In this article we have introduced the Cartesian product sequence spaces $\ell_{\infty} \times \ell_{\infty} (M,q)$, $c \times c (M,q)$ and $c_0 \times c_0 (M,q)$ related to cone metric space defined by the Orlicz function. We have established different properties like solidity, completeness etc. and also we obtain some inclusion results involving the spaces $\ell_{\infty} \times \ell_{\infty} (M,q)$, $c \times c (M,q)$ and $c_0 \times c_0 (M,q)$.