Convergence theorems for composite viscosity approaches to systems variational inequalities in Banach spaces


Lu-Chuan Ceng, Jen-Chih Yao, Yonghong Yao




In this paper, we study a general system of variational inequalities with a hierarchical variational inequality constraint for an infinite family of nonexpansive mappings. We introduce general implicit and explicit iterative algorithms. We prove the strong convergence of the sequences generated by the proposed iterative algorithms to a solution of the studied problems