کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418537 1339343 2014 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Metric regularity of composition set-valued mappings: Metric setting and coderivative conditions
ترجمه فارسی عنوان
منظم ماتریسی ترکیب بندی های مجموعه ای از ترکیب: تنظیمات متریک و شرایط کدوری
کلمات کلیدی
منظم بودن چند منظوره، ترکیب ارزشمند، شرایط کاندیدایی،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

The paper concerns a new method to obtain a proof of the openness at linear rate/metric regularity of composite set-valued maps on metric spaces by the unification and refinement of several methods developed somehow separately in several works of the authors. In fact, this work is a synthesis and a precise specialization to a general situation of some techniques explored in the last years in the literature. In turn, these techniques are based on several important concepts (like error bounds, lower semicontinuous envelope of a set-valued map, local composition stability of multifunctions) and allow us to obtain two new proofs of a recent result having deep roots in the topic of regularity of mappings. Moreover, we make clear the idea that it is possible to use (co)derivative conditions as tools of proof for openness results in very general situations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 412, Issue 1, 1 April 2014, Pages 41-62
نویسندگان
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