A new approximation of solutions of variational inequalities for Lipschitzian monotone mappings in Hilbert spaces
Haiyun Zhou, Gailiang Gao · 2009
We first introduce an iterative algorithm for finding solutions of variational inequalities for Lipschitzian and monotone mappings in Hilbert spaces, and then prove a strong convergence theorem by using the modified algorithm. As its application, we deduce a strong convergence theorem for Lipschitzian and pseudo-contractions in Hilbert spaces. The results presented in this paper extend several known results.