Convergence Analysis of ParallelS-Iteration Process for System of Generalized Variational Inequalities

Abstract

We consider a new system of generalized variational inequalities (SGVI) defined on two closed convex subsets of a real Hilbert space. To find the solution of considered SGVI, a parallel Mann iteration process and a parallelS-iteration process have been proposed and the strong convergence of the sequences generated by these parallel iteration processes is discussed. Numerical example illustrates that the proposed parallelS-iteration process has an advantage over parallel Mann iteration process in computing altering points of some mappings.