کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841700 908517 2011 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Variational sets: Calculus and applications to nonsmooth vector optimization
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Variational sets: Calculus and applications to nonsmooth vector optimization
چکیده انگلیسی

We develop elements of calculus of variational sets for set-valued mappings, which were recently introduced in Khanh and Tuan (2008) [1] and [2] to replace generalized derivatives in establishing optimality conditions in nonsmooth optimization. Most of the usual calculus rules, from chain and sum rules to rules for unions, intersections, products and other operations on mappings, are established. Direct applications in stability and optimality conditions for various vector optimization problems are provided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 6, 15 March 2011, Pages 2358–2379
نویسندگان
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