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An inversion theorem for set-valued maps
| Content Provider | Scilit |
|---|---|
| Author | Aze, D. |
| Copyright Year | 1988 |
| Description | The aim of this paper is to give an inversion theorem for set-valued maps involving both some known results for functions and set-valued maps. To do this we introduce a notion of strict differentiability for set-valued maps and we use a Newton like method assuming the derivative to be surjective. Moreover we prove the pseudo-Lipschitz regularity of the inverse. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/2388625BBEAA13FB50D777DC456993E9/S0004972700027027a.pdf/div-class-title-an-inversion-theorem-for-set-valued-maps-div.pdf |
| Ending Page | 414 |
| Page Count | 4 |
| Starting Page | 411 |
| ISSN | 00049727 |
| e-ISSN | 17551633 |
| DOI | 10.1017/s0004972700027027 |
| Journal | Bulletin of the Australian Mathematical Society |
| Issue Number | 3 |
| Volume Number | 37 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1988-06-01 |
| Access Restriction | Open |
| Subject Keyword | Bulletin of the Australian Mathematical Society Applied Mathematics Differentiability Inversion Theorem |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
