https://pure.iiasa.ac.at/id/eprint/14127 2021-08-27T17:41:43Z info:eu-repo/semantics/descriptiveMetadata https://pure.iiasa.ac.at/id/eprint/14127/ A directional implicit function theorem for quasidifferentiable functions Demidova, V. A. Demyanov, V.F. 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). Springer Berlin Heidelberg Demyanov, V. F. Dixon, L.C.W. 1986 Book Section PeerReviewed Demidova, V. A. & Demyanov, V.F. <https://pure.iiasa.ac.at/view/iiasa/2579.html> (1986). A directional implicit function theorem for quasidifferentiable functions. In: Quasidifferential Calculus. Eds. Demyanov, V. F. <https://pure.iiasa.ac.at/view/iiasa/2579.html> & Dixon, L.C.W., pp. 95-107 Germany: Springer Berlin Heidelberg. ISBN 978-3-642-00929-7 10.1007/BFb0121140 <https://doi.org/10.1007/BFb0121140>. doi:10.1007/BFb0121140 doi:10.1007/BFb0121140 info:eu-repo/semantics/humanStartPage