کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
837838 | 908350 | 2011 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A new representation of a proximal subdifferential by employing a directional derivative
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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 new representation of a proximal subdifferential by employing a directional derivative A new representation of a proximal subdifferential by employing a directional derivative](/preview/png/837838.png)
چکیده انگلیسی
In this paper, a new representation of the proximal subdifferential of a nonsmooth function is presented by using a directional derivative. The upper-semicontinuity property of the proximal subdifferential is proved via the new representation. The existence and necessary conditions of an optimal solution for a class of inf-convolution functions are obtained by using the proximal subdifferential. Finally, a relationship between the proximal subdifferential and the quasidifferential is established. Based on the relation, the proximal subdifferential can be computed easily when the quasidifferential is a polytope.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 12, Issue 3, June 2011, Pages 1347–1353
Journal: Nonlinear Analysis: Real World Applications - Volume 12, Issue 3, June 2011, Pages 1347–1353
نویسندگان
An Li,