REGULARITY CONDITIONS FOR CONSTRAINED EXTREMUM PROBLEMS VIA IMAGE SPACE

Citation
Ph. Dien et al., REGULARITY CONDITIONS FOR CONSTRAINED EXTREMUM PROBLEMS VIA IMAGE SPACE, Journal of optimization theory and applications, 80(1), 1994, pp. 19-37
Citations number
15
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
ISSN journal
00223239
Volume
80
Issue
1
Year of publication
1994
Pages
19 - 37
Database
ISI
SICI code
0022-3239(1994)80:1<19:RCFCEP>2.0.ZU;2-6
Abstract
Exploiting the image-space approach, we give an overview of regularity conditions. A notion of regularity for the image of a constrained ext remum problem is given. The relationship between image regularity and other concepts is also discussed. It turns out that image regularity i s among the weakest conditions for the existence of normal Lagrange mu ltipliers.