کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844352 908586 2007 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Accretive operators which are always single-valued in normed spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Accretive operators which are always single-valued in normed spaces
چکیده انگلیسی

Set-valued accretive operators in Banach spaces have been extensively studied for several decades. Our main purpose in this paper is to establish a quite revealing result that says that every set-valued lower semi-continuous accretive mapping defined on a normed space is, indeed, single-valued on the interior of its domain. No reference to the well-known Michael’s Selection Theorem is needed. This result is used to extend known theorems concerning the existence of zeros for such operators, as well as showing existence of solutions for variational inclusions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 12, 15 December 2007, Pages 3328–3334
نویسندگان
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