کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840751 908490 2012 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On mappings covering at a nonlinear rate and their perturbation stability
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
On mappings covering at a nonlinear rate and their perturbation stability
چکیده انگلیسی

The present paper contains a study of covering (alias, openness) properties at a nonlinear rate for set-valued mappings between metric spaces. Such study is focussed on the stability of these properties in the presence of perturbations. A crucial result valid for linear openness, known as Milyutin’s theorem, is extended to set-valued mappings covering at a nonlinear rate under possibly non-Lipschitz perturbations. Consequently, a Lyusternik type theorem is derived from such extension and a general penalization principle for constrained optimization problems, which exploits nonlinear covering properties, is presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 3, February 2012, Pages 1602–1616
نویسندگان
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