کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419437 1339409 2011 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Constrained open mapping theorem with applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Constrained open mapping theorem with applications
چکیده انگلیسی

We prove a generalization of Gravesʼ Open Mapping Theorem for a class of mappings which can be approximated at a reference point by a set-valued one having particular properties. The nonlinear mapping is restricted to a closed convex subset of a Banach space. We apply the results to derive necessary and sufficient conditions ensuring the existence of a differentiable selection for the inverse mapping. A slight generalization of a sufficient condition by J. Klamka on so-called constrained exact local controllability of nonlinear and semi-linear dynamic systems is also proved.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 379, Issue 1, 1 July 2011, Pages 205-215
نویسندگان
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