Open Access Research

Convergence of a proximal point algorithm for maximal monotone operators in Hilbert spaces

Zhiqiang Wei1 and Guohong Shi2*

Author Affiliations

1 School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China

2 College of Science, Hebei University of Engineering, Handan 056038, China

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Journal of Inequalities and Applications 2012, 2012:137 doi:10.1186/1029-242X-2012-137

Published: 13 June 2012

Abstract

In this article, we consider the proximal point algorithm for the problem of approximating zeros of maximal monotone mappings. Strong convergence theorems for zero points of maximal monotone mappings are established in the framework of Hilbert spaces.

2000 AMS Subject Classification: 47H05; 47H09; 47J25.

Keywords:
fixed point; nonexpansive mapping; maximal monotone mapping; zero