کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4617227 | 1339374 | 2013 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Continuity concepts for set-valued functions and a fundamental duality formula for set-valued optimization
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
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چکیده انگلیسی
Over the past few years a theory of conjugate duality for set-valued functions that map into the set of upper closed subsets of a preordered topological vector space has been developed. For scalar duality theory, continuity of convex functions plays an important role. For set-valued maps, different notions of continuity exist. We will compare the most prevalent ones for the special case where the image space is the set of upper closed subsets of a preordered topological vector space and analyze which of the results can be conveyed from the extended real-valued case.Moreover, we present a fundamental duality formula for set-valued optimization, using the weakest of the continuity concepts under consideration for a regularity condition.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 397, Issue 2, 15 January 2013, Pages 772–784
Journal: Journal of Mathematical Analysis and Applications - Volume 397, Issue 2, 15 January 2013, Pages 772–784
نویسندگان
Frank Heyde, Carola Schrage,