APPROXIMATIONS AND METRIC REGULARITY IN MATHEMATICAL-PROGRAMMING IN BANACH-SPACE

Citation
A. Jourani et L. Thibault, APPROXIMATIONS AND METRIC REGULARITY IN MATHEMATICAL-PROGRAMMING IN BANACH-SPACE, Mathematics of operations research, 18(2), 1993, pp. 390-401
Citations number
34
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science",Mathematics
ISSN journal
0364765X
Volume
18
Issue
2
Year of publication
1993
Pages
390 - 401
Database
ISI
SICI code
0364-765X(1993)18:2<390:AAMRIM>2.0.ZU;2-H
Abstract
This paper establishes verifiable conditions ensuring the important no tion of metric regularity for general nondifferentiable programming pr oblems in Banach spaces. These conditions are used to obtain Lagrange- Kuhn-Tucker multipliers for minimization problems with infinitely many inequality and equality constraints.