On the Fermat-Lagrange principle for mixed smooth convex extremal problems

Authors
Brinkhuis, J
Citation
J. Brinkhuis, On the Fermat-Lagrange principle for mixed smooth convex extremal problems, SB MATH, 192(5-6), 2001, pp. 641-649
Citations number
11
Categorie Soggetti
Mathematics
Journal title
SBORNIK MATHEMATICS
ISSN journal
10645616 → ACNP
Volume
192
Issue
5-6
Year of publication
2001
Pages
641 - 649
Database
ISI
SICI code
1064-5616(200105/06)192:5-6<641:OTFPFM>2.0.ZU;2-O
Abstract
A simple geometric condition that can be attached to an extremal problem of a fairly general form included in a family of problems is indicated. This is used to demonstrate that the task of formulating a uniform condition for smooth convex problems can be satisfactorily accomplished. On the other ha nd, the necessity of this new condition of optimality is proved under certa in technical assumptions.