A useful characterization of clarke derivatives

Roberto Cominetti; Rafael Correa; A. V. Balakrishnan

A useful characterization of clarke derivatives

Roberto Cominetti, Rafael Correa, A. V. Balakrishnan

Facultad de Ingeniería y Ciencias

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

3 Citas (Scopus)

Resumen

A characterization of Clarke’s directional derivatives as the upper semicontinuous regularization of Dini’s directional derivatives is proved. We extend some well known results in Nonsmooth Analysis by using this characterization, which, moreover, allows a great simplification in the proofs.

Idioma original	Inglés
Páginas (desde-hasta)	381-390
Número de páginas	10
Publicación	Differential and Integral Equations
Volumen	1
N.º	4
Estado	Publicada - oct. 1988

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title = "A useful characterization of clarke derivatives",

abstract = "A characterization of Clarke{\textquoteright}s directional derivatives as the upper semicontinuous regularization of Dini{\textquoteright}s directional derivatives is proved. We extend some well known results in Nonsmooth Analysis by using this characterization, which, moreover, allows a great simplification in the proofs.",

author = "Roberto Cominetti and Rafael Correa and Balakrishnan, {A. V.}",

year = "1988",

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T1 - A useful characterization of clarke derivatives

AU - Cominetti, Roberto

AU - Correa, Rafael

AU - Balakrishnan, A. V.

PY - 1988/10

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N2 - A characterization of Clarke’s directional derivatives as the upper semicontinuous regularization of Dini’s directional derivatives is proved. We extend some well known results in Nonsmooth Analysis by using this characterization, which, moreover, allows a great simplification in the proofs.

AB - A characterization of Clarke’s directional derivatives as the upper semicontinuous regularization of Dini’s directional derivatives is proved. We extend some well known results in Nonsmooth Analysis by using this characterization, which, moreover, allows a great simplification in the proofs.

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VL - 1

SP - 381

EP - 390

JO - Differential and Integral Equations

JF - Differential and Integral Equations

IS - 4

ER -

A useful characterization of clarke derivatives

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