RT Journal Article T1 Approximate Rolle’s theorems for the proximal subgradient and the generalized gradient A1 Azagra Rueda, Daniel A1 Ferrera Cuesta, Juan A1 López-Mesas Colomina, Fernando AB 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). PB Elsevier SN 0022-247X YR 2003 FD 2003-07-01 LK https://hdl.handle.net/20.500.14352/49793 UL https://hdl.handle.net/20.500.14352/49793 LA eng NO Marie Curie Fellowship of the European Community Training and Mobility of Researches Programme NO BFM NO Consejeria de Educación de Madrid DS Docta Complutense RD 9 abr 2025