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来源类型 | Book Section |
DOI | 10.1007/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) |
URL | http://pure.iiasa.ac.at/id/eprint/14127/ |
来源智库 | International Institute for Applied Systems Analysis (Austria) |
引用统计 | |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/133077 |
推荐引用方式 GB/T 7714 | Demidova V A,Demyanov VF,Demyanov, V. F.,et al. A directional implicit function theorem for quasidifferentiable functions.. 1986. |
条目包含的文件 | 条目无相关文件。 |
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