کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840279 1470523 2013 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Second-order optimality conditions with the envelope-like effect for nonsmooth vector optimization in infinite dimensions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Second-order optimality conditions with the envelope-like effect for nonsmooth vector optimization in infinite dimensions
چکیده انگلیسی

Second-order necessary conditions and sufficient conditions with the envelope-like effect for optimality in nonsmooth vector optimization are established. We use approximations as generalized derivatives, imposing strict differentiability for necessary conditions and differentiability for sufficient conditions and avoiding continuous differentiability. Convexity conditions are not imposed explicitly. The results make it clear when the envelope-like effect occurs and improve or include several recent existing ones. Examples are provided to show advantages of our theorems over some known ones in the literature.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 77, January 2013, Pages 130–148
نویسندگان
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