کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840731 908490 2012 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Implicit multifunction theorems with positively homogeneous maps
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Implicit multifunction theorems with positively homogeneous maps
چکیده انگلیسی

We extend Robinson’s and Ledyaev and Zhu’s implicit multifunction theorems using the language of generalized derivatives with positively homogeneous maps, allowing us to obtain results that more closely resemble the classical (single-valued) implicit function theorem. We highlight that using linear openness instead of metric regularity gives simpler proofs and stronger results. As part of our analysis, we study perturbations of generalized linear openness and metric regularity. Finally, we discuss how our methods may also be adapted to study generalized calmness.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 3, February 2012, Pages 1348–1361
نویسندگان
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