Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions
نویسندگان
چکیده
منابع مشابه
Weak Subdifferential in Nonsmooth Analysis and Optimization
Some properties of the weak subdifferential are considered in this paper. By using the definition and properties of the weak subdifferential which are described in the papers Azimov and Gasimov, 1999; Kasimbeyli and Mammadov, 2009; Kasimbeyli and Inceoglu, 2010 , the author proves some theorems connecting weak subdifferential in nonsmooth and nonconvex analysis. It is also obtained necessary op...
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The space of directed sets is a Banach space in which convex compact subsets of Rn are embedded. Each directed set is visualized as a (nonconvex) subset of Rn, which is comprised of a convex, a concave and a mixed-type part. Following an idea of A. Rubinov, the directed subdifferential of a difference of convex (DC) functions is defined as the directed difference of the corresponding embedded c...
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Article history: Received 21 June 2014 Accepted 21 May 2016 Available online 1 June 2016 Communicated by H. Brezis MSC: 26B05 26J25 49H05
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2006
ISSN: 0362-546X
DOI: 10.1016/j.na.2005.10.003