Journal of Global Optimization

, Volume 36, Issue 1, pp 115–125

A Regularization Method for the Proximal Point Algorithm

Article

DOI: 10.1007/s10898-006-9002-7

Cite this article as:
Xu, HK. J Glob Optim (2006) 36: 115. doi:10.1007/s10898-006-9002-7

Abstract

A regularization method for the proximal point algorithm of finding a zero for a maximal monotone operator in a Hilbert space is proposed. Strong convergence of this algorithm is proved.

Keywords

maximal monotone operatorprojectionproximal point algorithmregularization methodresolvent identitystrong convergence

Keywords

49J4047J2065J15

Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.School of Mathematical SciencesUniversity of KawZulu-NatalDurbanSouth Africa