کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
844791 | 908614 | 2006 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces](/preview/png/844791.png)
چکیده انگلیسی
In this paper we present a new regularity condition for the subdifferential sum formula of a convex function with the precomposition of another convex function with a continuous linear mapping. This condition is formulated by using the epigraphs of the conjugates of the functions involved and turns out to be weaker than the generalized interior-point regularity conditions given so far in the literature. Moreover, it provides a weak sufficient condition for Fenchel duality regarding convex optimization problems in infinite dimensional spaces. As an application, we discuss the strong conical hull intersection property (CHIP) for a finite family of closed convex sets.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 64, Issue 12, 15 June 2006, Pages 2787–2804
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 64, Issue 12, 15 June 2006, Pages 2787–2804
نویسندگان
Radu Ioan Boţ, Gert Wanka,