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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. 319329. ISSN 00049727

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Official URL: http://journals.cambridge.org/action/displayJournal?jid=BAZ#
Abstract
Two main results presented by the authors include a meanvalue 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 

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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