کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9503032 1339552 2005 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Isolated minimizers and proper efficiency for C0,1 constrained vector optimization problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Isolated minimizers and proper efficiency for C0,1 constrained vector optimization problems
چکیده انگلیسی
We consider the vector optimization problem minCf(x), g(x)∈−K, where f:Rn→Rm and g:Rn→Rp are C0,1 (i.e. locally Lipschitz) functions and C⊆Rm and K⊆Rp are closed convex cones. We give several notions of solution (efficiency concepts), among them the notion of properly efficient point (p-minimizer) of order k and the notion of isolated minimizer of order k. We show that each isolated minimizer of order k⩾1 is a p-minimizer of order k. The possible reversal of this statement in the case k=1 is studied through first order necessary and sufficient conditions in terms of Dini derivatives. Observing that the optimality conditions for the constrained problem coincide with those for a suitable unconstrained problem, we introduce sense I solutions (those of the initial constrained problem) and sense II solutions (those of the unconstrained problem). Further, we obtain relations between sense I and sense II isolated minimizers and p-minimizers.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 309, Issue 1, 1 September 2005, Pages 353-368
نویسندگان
, , ,