کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4619750 1339445 2009 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Inclusions in general spaces: Hoelder stability, solution schemes and Ekeland's principle
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Inclusions in general spaces: Hoelder stability, solution schemes and Ekeland's principle
چکیده انگلیسی

We present two basic lemmas on exact and approximate solutions of inclusions and equations in general spaces. Its applications involve Ekeland's principle, characterize calmness, lower semicontinuity and the Aubin property of solution sets in some Hoelder-type setting and connect these properties with certain iteration schemes of descent type. In this way, the mentioned stability properties can be directly characterized by convergence of more or less abstract solution procedures. New stability conditions will be derived, too. Our basic models are (multi-) functions on a complete metric space with images in a linear normed space.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 358, Issue 2, 15 October 2009, Pages 327-344