Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions

Correa, R.; Gajardo P.; Thibault, L

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. © 2006.

Más información

Título según WOS: Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions
Título según SCOPUS: Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions
Título de la Revista: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volumen: 65
Número: 4
Editorial: PERGAMON-ELSEVIER SCIENCE LTD
Fecha de publicación: 2006
Página de inicio: 864
Página final: 891
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S0362546X05008710
DOI:

10.1016/j.na.2005.10.003

Notas: ISI, SCOPUS