Chain rules for coderivatives

of multivalued mappings in Banach spaces

Authors:
A. Jourani and L. Thibault

Journal:
Proc. Amer. Math. Soc. **126** (1998), 1479-1485

MSC (1991):
Primary 49J52, 58C20

DOI:
https://doi.org/10.1090/S0002-9939-98-04198-7

MathSciNet review:
1443159

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Abstract | References | Similar Articles | Additional Information

Abstract: Our basic object in this paper is to establish calculus rules for coderivatives of multivalued mappings between Banach spaces. We consider the coderivative which is associated to some geometrical approximate subdifferential for functions.

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Additional Information

**A. Jourani**

Affiliation:
Université de Bourgogne, Laboratoire “Analyse Appliquée et Optimisation " B.P. 400, 21011 - Dijon Cédex, France

Email:
jourani@satie.u-bourgogne.fr

**L. Thibault**

Affiliation:
Université Montpellier II, Laboratoire d’Analyse Convexe, Case Courrier 05 1, 34095-Montpellier Cédex 5, France

DOI:
https://doi.org/10.1090/S0002-9939-98-04198-7

Keywords:
Coderivatives,
approximate subdifferentials,
coderivatively compactly multivalued mappings

Received by editor(s):
July 7, 1995

Received by editor(s) in revised form:
October 30, 1996

Communicated by:
Dale Alspach

Article copyright:
© Copyright 1998
American Mathematical Society