DIFFERENTIABLE SELECTION OF OPTIMAL-SOLUTIONS IN PARAMETRIC LINEAR-PROGRAMMING

Authors
LUC DT DIEN PH
Citation
Dt. Luc et Ph. Dien, DIFFERENTIABLE SELECTION OF OPTIMAL-SOLUTIONS IN PARAMETRIC LINEAR-PROGRAMMING, Proceedings of the American Mathematical Society, 125(3), 1997, pp. 883-892
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
3
Year of publication
1997
Pages
883 - 892
Database
ISI
SICI code
0002-9939(1997)125:3<883:DSOOIP>2.0.ZU;2-O
Abstract
In the present paper we prove that if the data of a parametric linear optimization problem are smooth, the solution map admits a local smoot h selection ''almost'' everywhere. This in particular shows that the s et of points where the marginal function of the problem is nondifferen tiable is nowhere dense.