Document Type : Research Paper

Author

• Chinedu Izuchukwu

School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

Abstract

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 convex
minimization problems.

Keywords

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