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Title: $r$--convex transformability in nonlinear programming problems (English)
Author: Galewska, E.
Author: Galewski, M.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 46
Issue: 3
Year: 2005
Pages: 555-565
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Category: math
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Summary: We show that for $r$-convex transformable nonlinear programming problems the Karush-Kuhn-Tucker necessary optimality conditions are also sufficient and we provide a method of solving such problems with the aid of associated $r$-convex ones. (English)
Keyword: nonlinear programming problem
Keyword: $r$-convex transformability
Keyword: sufficiency
Keyword: the Karush-Kuhn-Tucker conditions
MSC: 49K99
MSC: 90C26
MSC: 90C30
MSC: 90C46
idZBL: Zbl 1121.49026
idMR: MR2174532
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Date available: 2009-05-05T16:53:17Z
Last updated: 2012-04-30
Stable URL: http://hdl.handle.net/10338.dmlcz/119548
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