کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840742 908490 2012 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Metric regularity, tangential distances and generalized differentiation in Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Metric regularity, tangential distances and generalized differentiation in Banach spaces
چکیده انگلیسی

In this paper we establish new generalized differentiation rules in general Banach spaces regarding normal cones to set images under functions, coderivatives of compositions of set-valued mappings, as well as calculus results for normal compactness of sets and their images. In addition to the metric regularity of mappings, our results involve tangential distances of sets for which we also provide a fairly complete study by exploring its variations, basic properties, as well as relations to similar notions. Some related results are also established.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 3, February 2012, Pages 1496–1506
نویسندگان
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