Journal of Applied Mathematics
Volume 2012 (2012), Article ID 567948, 14 pages
Research Article

A Modified Regularization Method for the Proximal Point Algorithm

School of Mathematical Sciences, Yancheng Teachers University, Yancheng 224051, China

Received 15 April 2012; Accepted 28 May 2012

Academic Editor: Yonghong Yao

Copyright © 2012 Shuang Wang. 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.


Under some weaker conditions, we prove the strong convergence of the sequence generated by a modified regularization method of finding a zero for a maximal monotone operator in a Hilbert space. In addition, an example is also given in order to illustrate the effectiveness of our generalizations. The results presented in this paper can be viewed as the improvement, supplement, and extension of the corresponding results.