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Some Properties of General Minimization Problems with Constraints

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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.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, MO, 65401, USA

    Vy K. Le

  2. Département de Mathématiques, Université de Perpignan, 52 Avenue Paul Alduy, 66860, Perpignan, France

    Dumitru Motreanu

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  1. Vy K. Le
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  2. Dumitru Motreanu
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Correspondence to Vy K. Le.

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Le, V.K., Motreanu, D. Some Properties of General Minimization Problems with Constraints. Set-Valued Anal 14, 413–424 (2006). https://doi.org/10.1007/s11228-006-0016-6

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  • DOI: https://doi.org/10.1007/s11228-006-0016-6

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