Title
The Eckstein-Bertsekas Proximal Point Algorithm And Its Applications To Inclusion Problems Based On The Generalized Firm Nonexpansiveness
Abstract
Based on the generalized Firm nonexpansiveness of the resolvent operator, the convergence analysis of the Eckstein-Bertsekas proximal point algorithm in the context of approximating the solution of a class of nonlinear inclusion problems is given. Several new results on the generalized Firm nonexpansiveness of the resolvent operator are also established. The obtained results are general in nature, and can be applied to the generalized Douglas-Rachford splitting method. Copyright © 2010 Watam Press.
Publication Date
4-19-2010
Publication Title
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume
17
Issue
3
Number of Pages
317-333
Document Type
Article
Personal Identifier
scopus
Copyright Status
Unknown
Socpus ID
77950834192 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/77950834192
STARS Citation
Verma, Ram U., "The Eckstein-Bertsekas Proximal Point Algorithm And Its Applications To Inclusion Problems Based On The Generalized Firm Nonexpansiveness" (2010). Scopus Export 2010-2014. 649.
https://stars.library.ucf.edu/scopus2010/649