کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840947 908496 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic closure condition and Fenchel duality for DC optimization problems in locally convex spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Asymptotic closure condition and Fenchel duality for DC optimization problems in locally convex spaces
چکیده انگلیسی

We consider the DC optimization problem (P)infx∈X{(f1(x)−f2(x))+(g1(Ax)−g2(Ax))}, where f1,f2,g1f1,f2,g1 and g2g2 are proper convex functions defined on locally convex Hausdorff topological vector spaces XX and YY respectively, and AA is a linear continuous operator from XX to YY. Adopting the standard convexification technique, a Fenchel dual problem of (P)(P) is given. By using properties of the epigraph of conjugate functions, some sufficient and necessary conditions for the Fenchel duality and for the stable Fenchel duality of (P)(P) are provided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 8, May 2012, Pages 3672–3681
نویسندگان
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