Abstract
For a class of penalty functions including those considered by Zangwill (7), Pietrzykowski (8) and Evans, Gould and Tolle (2) we show the essentialnecessary and sufficient properties for local exactness in an infinite dimensional optimization problem.
In particular we show that the local exactness property will follow by an inverse function theorem generalizing thus the results of Evans, Gould and Tolle. Next we generalize the results of Howe (5) and show in addition that the Kuhn-Tucker necessary conditions for a solution of the programming problem must be necessarily satisfied in order to have local exactness of our penalty function.
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References
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© 1975 Springer-Verlag Berlin · Heidelberg
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Czap, H. (1975). Exact penalty—Functions in infinite optimization. In: Bulirsch, R., Oettli, W., Stoer, J. (eds) Optimization and Optimal Control. Lecture Notes in Mathematics, vol 477. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079165
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DOI: https://doi.org/10.1007/BFb0079165
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