کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4622812 1339505 2006 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asplund sets, differentiability and subdifferentiability of functions in Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Asplund sets, differentiability and subdifferentiability of functions in Banach spaces
چکیده انگلیسی

We show that Asplund sets are effective tools to study differentiability of Lipschitz functions, and ε-subdifferentiability of lower semicontinuous functions on general Banach spaces. If a locally Lipschitz function defined on an Asplund generated space has a minimal Clarke subdifferential mapping, then it is TBY-uniformly strictly differentiable on a dense Gδ subset of X. Examples are given of locally Lipschitz functions that are TBY-uniformly strictly differentiable everywhere, but nowhere Fréchet differentiable.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 323, Issue 2, 15 November 2006, Pages 1417-1429