G2TT
来源类型Book Section
DOI10.1007/BFb0121140
A directional implicit function theorem for quasidifferentiable functions.
Demidova V A; Demyanov VF; Demyanov, V. F.; Dixon, L.C.W.
发表日期1986
出处Quasidifferential Calculus. Eds. Demyanov, V. F. & Dixon, L.C.W. , pp. 95-107 Germany: Springer Berlin Heidelberg. ISBN 978-3-642-00929-7 DOI: 10.1007/BFb0121140 .
出版年1986
语种英语
摘要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).
主题System and Decision Sciences - Core (SDS)
URLhttp://pure.iiasa.ac.at/id/eprint/14127/
来源智库International Institute for Applied Systems Analysis (Austria)
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资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/133077
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GB/T 7714
Demidova V A,Demyanov VF,Demyanov, V. F.,et al. A directional implicit function theorem for quasidifferentiable functions.. 1986.
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