کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4623448 1339516 2006 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On proto-differentiability of generalized perturbation maps
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On proto-differentiability of generalized perturbation maps
چکیده انگلیسی

This paper is devoted to the sensitivity analysis in optimization problems and variational inequalities. The concept of proto-differentiability of set-valued maps (see [R.T. Rockafellar, Proto-differentiability of set-valued mappings and its applications in optimization, Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1989) 449–482]) plays the key role in our investigation. It is proved that, under some suitable qualification conditions, the generalized perturbation maps (that is, the solution set map to a parameterized constraint system, to a parameterized variational inequality, or to a parameterized optimization problem) are proto-differentiable.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 324, Issue 2, 15 December 2006, Pages 1297-1309