Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 368137, 15 pages
doi:10.1155/2011/368137
Research Article

Convergence of Iterative Sequences for Fixed Point and Variational Inclusion Problems

School of Management, University of Shanghai for Science and Technology, Shanghai 200093, China

Received 14 November 2010; Accepted 8 February 2011

Academic Editor: Yeol J. Cho

Copyright © 2011 Li Yu and Ma Liang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An iterative process is considered for finding a common element in the fixed point set of a strict pseudocontraction and in the zero set of a nonlinear mapping which is the sum of a maximal monotone operator and an inverse strongly monotone mapping. Strong convergence theorems of common elements are established in real Hilbert spaces.