Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/6099
| Title: | Generalized Levitin--Polyak well-posedness in constrained optimization | Authors: | Huang, XX Yang, XQ |
Issue Date: | 2006 | Source: | SIAM journal on optimization, 2006, v. 17, no. 1, p. 243-258 | Abstract: | In this paper, we consider Levitin--Polyak-type well-posedness for a general constrained optimization problem. We introduce generalized Levitin--Polyak well-posedness and strongly generalized Levitin--Polyak well-posedness. Necessary and sufficient conditions for these types of well-posedness are given. Relations among these types of well-posedness are investigated. Finally, we consider convergence of a class of penalty methods and a class of augmented Lagrangian methods under the assumption of strongly generalized Levitin--Polyak well-posedness. | Keywords: | Constrained optimization Generalized minimizing sequence Generalized Levitin--Polyak well-posedness Penalty-type methods |
Publisher: | Society for Industrial and Applied Mathematics | Journal: | SIAM journal on optimization | ISSN: | 1052-6234 | EISSN: | 1095-7189 | DOI: | 10.1137/040614943 | Rights: | © 2006 Society for Industrial and Applied Mathematics |
| Appears in Collections: | Journal/Magazine Article |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Huang_Generalized_Levitin_Polyak.pdf | 179.34 kB | Adobe PDF | View/Open |
Access
View full-text via PolyU eLinks 
Page views
80
Last Week
1
1
Last month
Citations as of Jun 4, 2023
Downloads
164
Citations as of Jun 4, 2023
SCOPUSTM
Citations
106
Last Week
0
0
Last month
2
2
Citations as of Jun 1, 2023
WEB OF SCIENCETM
Citations
106
Last Week
0
0
Last month
2
2
Citations as of Jun 1, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.