RT Journal Article
T1 Continuous selections and invertibility of nonsmooth maps between Banach spaces
A1 Ivanov, Milen
A1 Jaramillo Aguado, Jesús Ángel
A1 Lajara, Sebastián
A1 Zlateva, Nadia
AB In the setting of Banach spaces, we address the problems of local surjectivity, existence of a continuous selection and invertibility for nonsmooth maps which admit a suitable pseudo-Jacobian. We obtain a general sufficient condition for the existence of a continuous selection. As a consequence, we recover from our result the classical Bartle-Graves selection theorem for linear maps. We also obtain a sufficient condition for local invertibility, which in particular applies to certain Gâteaux differentiable maps.
PB Springer Nature Link
SN 0022-3239
SN 1573-2878
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/120656
UL https://hdl.handle.net/20.500.14352/120656
LA eng
NO Ivanov, M., Jaramillo, J.A., Lajara, S. et al. Continuous Selections and Invertibility of Nonsmooth Maps Between Banach Spaces. J Optim Theory Appl 206, 41 (2025).
NO 2025 Acuerdos Transformativos CRUE
NO Ministerio de Ciencia, Innovación y Universidades
NO Agencia Estatal de Investigación
NO Fondo Europeo de Desarrollo Regional
NO European Union-Next Generation EU
NO national Recobery and Resilience Plan of the Republic of Bulgaria
DS Docta Complutense
RD 26 feb 2026