Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces
Lu-Chuan Ceng, Yung-Yih Lur, Ching‐Feng Wen · Journal of Inequalities and Applications · 2017
The purpose of this paper is to solve the hierarchical variational inequality with the constraint of a general system of variational inequalities in a uniformly convex and 2-uniformly smooth Banach space. We introduce implicit and explicit iterative algorithms which converge strongly to a unique solution of the hierarchical variational inequality problem. Our results improve and extend the corresponding results announced by some authors.