A FRITZ-JOHN OPTIMALITY CONDITION USING THE APPROXIMATE SUBDIFFERENTIAL

Authors
GLOVER BM CRAVEN BD
Citation
Bm. Glover et Bd. Craven, A FRITZ-JOHN OPTIMALITY CONDITION USING THE APPROXIMATE SUBDIFFERENTIAL, Journal of optimization theory and applications, 82(2), 1994, pp. 253-265
Citations number
25
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
82
Issue
2
Year of publication
1994
Pages
253 - 265
Database
ISI
SICI code
0022-3239(1994)82:2<253:AFOCUT>2.0.ZU;2-W
Abstract
A Fritz John type first-order optimality condition is derived for infi nite-dimensional programming problems involving the approximate subdif ferential. A discussion of the important properties of the approximate subdifferential for locally Lipschitz functions is included. In addit ion, an upper semicontinuity condition is obtained for an approximate subdifferential multifunction related to the class of locally compactl y Lipschitzian mappings.