Some Properties of General Minimization Problems with Constraints
Abstract
The paper studies the existence of solutions and necessary conditions of optimality for a general minimization problem with constraints. Although we focus mainly on the case where the cost functional is locally Lipschitz, a general Palais-Smale condition is proposed and some of its properties are studied. Applications to an optimal control problem and a Lagrange multiplier rule are also given.
Recommended Citation
V. K. Le and D. Motreanu, "Some Properties of General Minimization Problems with Constraints," Set-Valued Analysis, Springer Verlag, Jan 2006.
Department(s)
Mathematics and Statistics
Keywords and Phrases
Palais-Smale condition; constraints; minimization problems
International Standard Serial Number (ISSN)
0927-6947
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2006 Springer Verlag, All rights reserved.
Publication Date
01 Jan 2006
