Some Properties of General Minimization Problems with Constraints
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.
V. K. Le and D. Motreanu, "Some Properties of General Minimization Problems with Constraints," Set-Valued Analysis, Springer Verlag, Jan 2006.
Mathematics and Statistics
Keywords and Phrases
Palais-Smale condition; constraints; minimization problems
Article - Journal
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