%0 Journal Article
%A Azagra Rueda, Daniel
%A Deville, Robert
%T Subdifferential rolle’s and mean value inequality theorems
%D 1997
%@ 0004-9727
%U https://hdl.handle.net/20.500.14352/57011
%X 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".
%~