Abstract
Existence of multipliers for semi-infinite nonlinear programs is established by means of an independence condition of the constraints which stemmed from the study of the conditional Gauss variational problem in potential theory. In the case where the objective function is a quadratic form, our results are generalizations of those for the conditional Gauss variational problem.
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© 1983 Springer-Verlag Berlin Heidelberg
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Yamasaki, M. (1983). Existence Theorems in Semi-Infinite Programs. In: Fiacco, A.V., Kortanek, K.O. (eds) Semi-Infinite Programming and Applications. Lecture Notes in Economics and Mathematical Systems, vol 215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46477-5_6
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DOI: https://doi.org/10.1007/978-3-642-46477-5_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12304-0
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