A note on the Slater-condition

F. Lempio: A note on the Slater-condition
in: Numerische Methoden bei Optimierungsaufgaben. Band 2. Vortragsauszüge der Tagung über Numerische Methoden bei Optimierungsaufgaben vom 18. bis 24. November 1973 im Mathematischen Forschungsinstitut Oberwolfach (Schwarzwald), Collatz, L. and Wetterling, W. (eds.)
Internat. Schr. Numer. Math. 23, Birkhäuser, Basel, 1974, 165 - 165

DOI: 10.1007/978-3-0348-5321-7_14
Zentralblattnummer: 0281.00014


First we demonstrate 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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