RT Journal Article T1 Subdifferential rolle’s and mean value inequality theorems A1 Azagra Rueda, Daniel A1 Deville, Robert AB 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". PB Cambridge University Press SN 0004-9727 YR 1997 FD 1997 LK https://hdl.handle.net/20.500.14352/57011 UL https://hdl.handle.net/20.500.14352/57011 LA eng NO DGICYT DS Docta Complutense RD 8 abr 2025