کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841460 908510 2011 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization
چکیده انگلیسی

We propose notions of higher-order outer and inner radial derivatives of set-valued maps and obtain main calculus rules. Some direct applications of these rules in proving optimality conditions for particular optimization problems are provided. Then we establish higher-order optimality necessary conditions and sufficient ones for a general set-valued vector optimization problem with inequality constraints. A number of examples illustrate both the calculus rules and the optimality conditions. In particular, they explain some advantages of our results over earlier existing ones and why we need higher-order radial derivatives.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 18, December 2011, Pages 7365–7379
نویسندگان
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