Abstract
This paper deals with a regularity assumption for the existence of Lagrange Multipliers for an optimization problem in Hilbert spaces. First some results of [6] are extended; then a class of discrete systems in a Hilbert Space is considered where the regularity assumption automatically holds and the Discrete Maximum Principle is obtained.
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Communicated by J. Stoer
This research was partly supported by the Computer and Automation Institute of the Hungarian Academy of Sciences.
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Dien, P.H. On the regularity condition for the extremal problem under locally Lipschitz inclusion constraints. Appl Math Optim 13, 151–161 (1985). https://doi.org/10.1007/BF01442204
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DOI: https://doi.org/10.1007/BF01442204