کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
840493 | 908482 | 2012 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
εε-strict subdifferentials of set-valued maps and optimality conditions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
In this paper, first, a new notion of εε-strict subdifferentials of set-valued maps is introduced in a locally convex space. Second, the existence for a εε-strict subdifferential of a set-valued map and an equivalent characterization for εε-strict subgradient of a set-valued map are presented, respectively. Third, a generalized Moreau–Rockafellar theorem with set-valued maps is obtained. Finally, optimality conditions of vector optimization problems with set-valued maps are established in the sense of εε-strict subdifferential.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 9, June 2012, Pages 3761–3775
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 9, June 2012, Pages 3761–3775
نویسندگان
Zhi-Ang Zhou, Xin-Min Yang, Jian-Wen Peng,