Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces

In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiple-sets split variational inequality problems. The sequence of the proposed iterative algorithm is proved to converge strongly in Hilbert spaces. As application, we obtain some strong convergence results for some classes of multiple-sets split convexminimization problems.

Keywords:

Split variational inequality problems , multiple-sets problems , convex minimization problems , strictly pseudocontractive mapping , inverse strongly monotone operators