کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9502759 1339539 2005 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lagrange multipliers for set-valued optimization problems associated with coderivatives
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Lagrange multipliers for set-valued optimization problems associated with coderivatives
چکیده انگلیسی
In this paper we investigate a vector optimization problem (P) where objective and constraints are given by set-valued maps. We show that by mean of marginal functions and suitable scalarizing functions one can characterize certain solutions of (P) as solutions of a scalar optimization problem (SP) with single-valued objective and constraint functions. Then applying some classical or recent results in optimization theory to (SP) and using estimates of subdifferentials of marginal functions, we obtain optimality conditions for (P) expressed in terms of Lagrange or sequential Lagrange multipliers associated with various coderivatives of the set-valued data.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 311, Issue 2, 15 November 2005, Pages 647-663
نویسندگان
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