کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630110 1340593 2012 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Second-order contingent derivatives of set-valued mappings with application to set-valued optimization
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Second-order contingent derivatives of set-valued mappings with application to set-valued optimization
چکیده انگلیسی

In this paper, a family of parameterized set-valued optimization problems, whose constraint set depends on a parameter, are considered. Some calculus rules are obtained for calculating the second-order contingent derivatives of the composition and sum of two set-valued mappings. Then, by using these calculus rules, some results concerning second-order sensitivity analysis are established, and an explicit expression for the second-order contingent derivative of the (weak) perturbation mapping in the set-valued optimization problems is obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 12, 15 February 2012, Pages 6874–6886
نویسندگان
, , ,