کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844915 908629 2006 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Weak regularity of functions and sets in Asplund spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Weak regularity of functions and sets in Asplund spaces
چکیده انگلیسی

In this paper, we study a new concept of weak regularity of functions and sets in Asplund spaces. We show that this notion includes prox-regular functions, functions whose subdifferential is weakly submonotone and amenable functions in infinite dimension. We establish also that weak regularity is equivalent to Mordukhovich regularity in finite dimension. Finally, we give characterizations of the weak regularity of epi-Lipschitzian sets in terms of their local representations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 65, Issue 3, 1 August 2006, Pages 660–676
نویسندگان
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