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
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
A new representation of a proximal subdifferential by employing a directional derivative
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
نویسندگان
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