RT Book, Section
SR 00
ID doi:10.1007/BFb0121140
A1 Demidova, V. A.
A1 Demyanov, V.F.
T1 A directional implicit function theorem for quasidifferentiable functions
YR 1986
FD 1986
VO 29
SP 95
OP 107
AB The implicit and inverse function theorems provide an essential component of classical differential calculus, and for this reason many attempts have been made to extend these theorems to nonsmooth analysis (see, for example, the work of F. Clarke, H. Halkin, J.-B. Hiriart-Urruty, A.D. Ioffe, B.H. Pourciau, J. Warga). In this paper, we consider the case of quasidifferentiable functions. It is shown that to obtain nontrivial results it is necessary to study a directional implicit function problem (it turns out that in some directions there are several functions, while in others there are none).
A2 Demyanov, V. F.
A2 Dixon, L.C.W.
T2 Quasidifferential Calculus
PB Springer Berlin Heidelberg
PP Germany
T3 Mathematical Programming Studies
SN 978-3-642-00929-7
AV Published
LK https://pure.iiasa.ac.at/id/eprint/14127/
DO 10.1007/BFb0121140