TY  - CHAP
CY  - Germany
ID  - iiasa14127
UR  - https://pure.iiasa.ac.at/id/eprint/14127/
A1  - Demidova, V. A.
A1  - Demyanov, V.F.
N2  - 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).
ED  - Demyanov, V. F.
ED  - Dixon, L.C.W.
M1  - 29
TI  - A directional implicit function theorem for quasidifferentiable functions
AV  - none
EP  - 107
Y1  - 1986///
PB  - Springer Berlin Heidelberg
T3  - Mathematical Programming Studies
SN  - 0303-3929
SP  - 95
T2  - Quasidifferential Calculus
ER  -