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Azagra Rueda, Daniel and Deville, Robert
(1997)
*Subdifferential rolle’s and mean value inequality theorems.*
Bulletin of the Australian Mathematical Society, 56
(2).
pp. 319-329.
ISSN 0004-9727

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Official URL: http://journals.cambridge.org/action/displayJournal?jid=BAZ#

## Abstract

Two main results presented by the authors include a mean-value inequality for a class of Gateaux subdifferentiable functions and a subdifferential Rolle’s theorem in a Banach space. For the second part, if a (Gateaux/Fréchet)subdifferentiable function f is bounded by " on the boundary of a unit ball, then there exists a Gateaux/Fréchet) subgradient of f at an interior point of the ball which is bounded by 2".

Item Type: | Article |
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Uncontrolled Keywords: | Gâteaux subdifferential; Mean value inequality theorems; Subdifferential approximate Rolle's theorem; Fréchet subdifferential |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 12296 |

Deposited On: | 01 Mar 2011 09:38 |

Last Modified: | 06 Feb 2014 09:21 |

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