CONDITIONING AND UPPER-LIPSCHITZ INVERSE SUBDIFFERENTIALS IN NONSMOOTH OPTIMIZATION PROBLEMS

Authors
CORNEJO O JOURANI A ZALINESCU C
Citation
O. Cornejo et al., CONDITIONING AND UPPER-LIPSCHITZ INVERSE SUBDIFFERENTIALS IN NONSMOOTH OPTIMIZATION PROBLEMS, Journal of optimization theory and applications, 95(1), 1997, pp. 127-148
Citations number
26
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
95
Issue
1
Year of publication
1997
Pages
127 - 148
Database
ISI
SICI code
0022-3239(1997)95:1<127:CAUISI>2.0.ZU;2-B
Abstract
In this paper, we study conditioning problems for convex and nonconvex functions defined on normed linear spaces. We extend the notion of up per Lipschitzness for multivalued functions introduced by Robinson, an d show that this concept ensures local conditioning in the nonconvex c ase via an abstract subdifferential; in the convex case, we obtain com plete characterizations of global conditioning in terms of an extensio n of the upper-Lipschitz property.