Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 262073, 15 pages
Research Article

An Approximate Proximal Point Algorithm for Maximal Monotone Inclusion Problems

Department of Mathematics, Xidian University, Xi’an, Shaanxi 710071, China

Received 19 July 2011; Revised 24 October 2011; Accepted 29 October 2011

Academic Editor: J. J. Judice

Copyright © 2011 Lingling Huang et al. 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.


This paper presents and analyzes a strongly convergent approximate proximal point algorithm for finding zeros of maximal monotone operators in Hilbert spaces. The proposed method combines the proximal subproblem with a more general correction step which takes advantage of more information on the existing iterations. As applications, convex programming problems and generalized variational inequalities are considered. Some preliminary computational results are reported.