Convergence theorems for fixed point problems and variational inequality problems in Hilbert spaces
Yonghong Yao, Yeong‐Cheng Liou, Rudong Chen · Mathematische Nachrichten · 2009
Abstract In this paper, we introduce an iterative scheme 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 α ‐inverse strongly monotone mapping in a Hilbert space. We show that the sequence converges strongly to a common element of two sets under some mild conditions on parameters (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)