کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841866 1470527 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On ℓℓ-stable mappings with values in infinite-dimensional Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
On ℓℓ-stable mappings with values in infinite-dimensional Banach spaces
چکیده انگلیسی

The aim of the paper is to collect some results concerning ℓℓ-stability of mappings with values in possibly infinite-dimensional Banach spaces. We show that any ℓℓ-stable function from finite-dimensional space to an arbitrary Banach space is Lipschitz near the reference point. Further, we show that any ℓℓ-stable function from finite-dimensional space to a Banach space having Radon–Nikodým property is strictly differentiable at the reference point. As an application we present the second-order sufficient condition for the unconstrained optimization problem previously obtained for finite-dimensional range space.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issues 3–4, 1 February 2010, Pages 1198–1209
نویسندگان
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