Title
Generalized Eckstein-Bertsekas Proximal Point Algorithm Involving (H, Η)-Monotonicity Framework
Keywords
(H, η)-monotonic mapping; General firm nonexpansiveness; Generalized Eckstein-Bertsekas proximal point algorithm; Generalized resolvent operator; Maximal monotonic mapping; Variational inclusions
Abstract
A general framework for the Eckstein-Bertsekas proximal point algorithm, based on the notion of (H, η)-monotonicity, is developed. Convergence analysis for the generalized Eckstein-Bertsekas proximal point algorithm in the context of solving a class of nonlinear inclusions is examined. Furthermore, some results on general firm nonexpansiveness and resolvent mapping corresponding to (H, η)-monotonicity are given. © 2006 Elsevier Ltd. All rights reserved.
Publication Date
5-1-2007
Publication Title
Mathematical and Computer Modelling
Volume
45
Issue
9-10
Number of Pages
1214-1230
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.mcm.2006.09.019
Copyright Status
Unknown
Socpus ID
33846360064 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/33846360064
STARS Citation
Verma, Ram U., "Generalized Eckstein-Bertsekas Proximal Point Algorithm Involving (H, Η)-Monotonicity Framework" (2007). Scopus Export 2000s. 6635.
https://stars.library.ucf.edu/scopus2000/6635