Inverse and implicit function theorems for nonsmooth maps in Banach spaces (Q1359565)
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scientific article; zbMATH DE number 1031563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inverse and implicit function theorems for nonsmooth maps in Banach spaces |
scientific article; zbMATH DE number 1031563 |
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Inverse and implicit function theorems for nonsmooth maps in Banach spaces (English)
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12 January 1998
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The author generalizes the classical inverse and implicit function theorems, the implicit function theorems of Lyusternik and Graves, and the results of Clarke and Pourciau to the situation when the given function is not smooth, but has a convex strict prederivative whose measure of noncompactness is smaller than its measure of surjectivity.
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inverse function theorems
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surjectivity result
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implicit functions theorems
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