Second order optimality conditions for infinite programs


Oettli, Werner ; Sach, Pham H.


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URL: http://ub-madoc.bib.uni-mannheim.de/1991
URN: urn:nbn:de:bsz:180-madoc-19919
Document Type: Working paper
Year of publication: 1989
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Classification: MSC: 90C48 49B27 ,
Subject headings (SWD): Minimierung , Approximation
Keywords (English): infsup-problem , infinite program , second order optimality conditions
Abstract: The paper deals with the minimization problem of a marginal function over a subset C of a space X. Unlike the existing papers, X is not assumed to be a finitedimensional space and C is a geometric constraint which may not coincide with X. Second order necessary and sufficient optimality conditions are written in terms of some approximations of the data of the problem.




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