G-sequential methods in product spaces

It is known that for a Hausdorff topological space X the limits of convergent sequences in X determines a function from the set of all convergent sequences in X to X. This notion has been extended in [14] by Connor and Grosse-Erdmann to a real valued function defined on a liner subspace of the vector space of real sequences called G- methods. Recently, some authors have modified the concept in the topological group setting and introduced the concepts of G-continuity, G-compactness and G-connectedness. In this work we consider the G-methods on topological spaces and characterize G-closures, G-closed and G-open subsets of product spaces with some results.