An Approximate Proximal Point Algorithm for Maximal Monotone Inclusion Problems. (19th December 2011)

• Record Type: Journal Article
• Authors: Huang, Lingling; Liu, Sanyang; Gao, Weifeng
• Other Names: Judice J. J. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2011(2011)
• Publication Date: 2011-12-19
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2011/262073
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.