Abstract
First wedemonstrate the importance of different constraint qualifications for semiinfinite programming problems, penalty methods, and discretization methods for optimization problems in function spaces. Next we point out that all these constraint qualifications are special cases of a general Slater-condition for infinite linear or differentiable optimization problems. Then we prove the validity of this condition for an optimal control problem governed by an equation of evolution, whose control variables occur within initial and boundary conditions.
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© 1974 Springer Basel AG
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Lempio, F. (1974). A Note on the Slater-Condition. In: Collatz, L., Wetterling, W. (eds) Numerische Methoden bei Optimierungsaufgaben. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 23. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5321-7_14
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DOI: https://doi.org/10.1007/978-3-0348-5321-7_14
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5322-4
Online ISBN: 978-3-0348-5321-7
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