%0 Journal Article %A Azagra Rueda, Daniel %A Ferrera Cuesta, Juan %A López-Mesas Colomina, Fernando %T Approximate Rolle’s theorems for the proximal subgradient and the generalized gradient %D 2003 %@ 0022-247X %U https://hdl.handle.net/20.500.14352/49793 %X We establish approximate Rolle's theorems for the proximal subgradient and for the generalized gradient. We also show that an exact Rolle's theorem for the generalized gradient is completely false in all infinite-dimensional Banach spaces (even when they do not possess smooth bump functions). %~