  In this paper, we introduce two novel parallel projection methods for finding
a solution of a system of variational inequalities which is also a common fixed
point of a family of (asymptotically) $\kappa$ - strict pseudocontractive
mappings. A technical extension in the proposed algorithms helps in computing
practical numerical experiments when the number of subproblems is large. Some
numerical examples are implemented to demonstrate the efficiency of parallel
computations.
