METRIC REGULARITY AND 2ND-ORDER NECESSARY OPTIMALITY CONDITIONS FOR MINIMIZATION PROBLEMS UNDER INCLUSION CONSTRAINTS

Authors
JOURANI A
Citation
A. Jourani, METRIC REGULARITY AND 2ND-ORDER NECESSARY OPTIMALITY CONDITIONS FOR MINIMIZATION PROBLEMS UNDER INCLUSION CONSTRAINTS, Journal of optimization theory and applications, 81(1), 1994, pp. 97-120
Citations number
38
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
81
Issue
1
Year of publication
1994
Pages
97 - 120
Database
ISI
SICI code
0022-3239(1994)81:1<97:MRA2NO>2.0.ZU;2-7
Abstract
In this paper, we establish some general metric regularity results for multivalued functions on Banach spaces. Then, we apply them to derive second-order necessary optimality conditions for the problem of minim izing a function f on the solution set of an inclusion 0 is-an-element -of F(x) with x is-an-element-of C, when F has a closed convex second- order derivative.