DocumentCode
391011
Title
A linear extremal principle
Author
Treiman, Jay S.
Author_Institution
Dept. of Math., Western Michigan Univ., Kalamazoo, MI, USA
Volume
3
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
3118
Abstract
The idea of using an extremal principle for optimization and nonsmooth analysis dates back to convex analysis. In this work an extremal principle in the vein of Mordukhovich is proven for the linear generalized gradient. It is tighter than Mordukhovich´s since the normal cones are smaller. However it requires a locally epi-Lipschitz set, so its applications are more limited. Some applications to nonsmooth calculus and optimization problems are given.
Keywords
optimisation; set theory; variational techniques; convex analysis; linear extremal principle; linear generalized gradient; locally epiLipschitz sets; nonsmooth analysis; nonsmooth calculus; optimization; Calculus; Extraterrestrial measurements; Lifting equipment; Mathematics; Robustness; Veins;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1184346
Filename
1184346
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