Fixed Point Theory and Applications 
Volume 2007 (2007), Article ID 32870, 8 pages
doi:10.1155/2007/32870
Research Article

Iterative Algorithm for Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces

Yonghong Yao and Rudong Chen

 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
Received 11 October 2006; Revised 8 December 2006; Accepted 11 December 2006

Recommended by Nan-Jing Huang

Abstract

We first introduce and analyze an algorithm of approximating solutions of maximal monotone operators in Hilbert spaces. Using this result, we consider the convex minimization problem of finding a minimizer of a proper lower-semicontinuous convex function and the variational problem of finding a solution of a variational inequality.