Construction of Iterative Methods for Variational Inequality and Fixed Point Problems
Yonghong Yao, Yeong‐Cheng Liou, Naseer Shahzad · Numerical Functional Analysis and Optimization · 2012
In this article, we first introduce two iterative methods for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. Then we show that the proposed iterative methods converge strongly to a minimum norm element of two sets.