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

Document Type : Research Paper


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


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.


Volume 9, Issue 1
September 2018
Pages 27-40
  • Receive Date: 11 September 2017
  • Revise Date: 20 February 2018
  • Accept Date: 23 April 2018