Title of article
Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions Original Research Article
Author/Authors
Rafael Correa، نويسنده , , Pedro Gajardo، نويسنده , , Lionel Thibault، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
28
From page
864
To page
891
Abstract
Several kinds of behaviors of extended-real-valued lower semicontinuous functions are known to be equivalent to certain appropriate conditions in terms of the Clarke subdifferential. The paper provides a systematic study showing that any such condition with the Clarke subdifferential is valid if and only if it holds with any operator representing the Clarke subdifferential like in the subdifferential proximal formula.
Keywords
Cone decreasing property , Directionally Lipschitzian behavior , pln function , Convexly composite function , Subdifferential representation formula , Monotonicity
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2006
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
859408
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