On subdifferential calculus and duality in non-convex optimization
نویسندگان
چکیده
منابع مشابه
New results in subdifferential calculus with applications to convex optimization
Chain and addition rules of subdifferential calculus are revisited in the paper and new proofs, providing local necessary and sufficient conditions for their validity, are presented. A new product rule pertaining to the composition of a convex functional and a Young function is also established and applied to obtain a proof of Kuhn-Tucker conditions in convex optimization under minimal assumpti...
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The main purpose of these lectures is to familiarize the student with the basic ingredients of convex analysis, especially its subdifferential calculus. This is done while moving to a clearly discernible end-goal, the Karush-Kuhn-Tucker theorem, which is one of the main results of nonlinear programming. Of course, in the present lectures we have to limit ourselves most of the time to the Karush...
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Article history: Received 21 June 2014 Accepted 21 May 2016 Available online 1 June 2016 Communicated by H. Brezis MSC: 26B05 26J25 49H05
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ژورنال
عنوان ژورنال: Mémoires de la Société mathématique de France
سال: 1979
ISSN: 0249-633X,2275-3230
DOI: 10.24033/msmf.269