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Memorandum, Department of Economics, University of Oslo >
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http://hdl.handle.net/10419/63084
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| Title: | | Open mapping theorems for directionally differentiable functions  |
| Authors: | | Seierstad, Atle |
| Issue Date: | | 2004 |
| Series/Report no.: | | Memorandum, Department of Economics, University of Oslo 2004,21 |
| Abstract: | | Open mapping theorems are proved for directionally differentiable Lipschitz continuous functions. It is indicated that generalizations to nonsmooth functions that are not directionally differentiable are possible. The results in the paper generalize the open mapping theorems for differentiable mappings, and are different from open mapping theorems for nonsmooth functions in the literature, when these are specialized to directionally differentiable functions. |
| Subjects: | | Open mapping theorems Lipschitz differentiable mappings differentiable functions |
| JEL: | | F41 |
| Document Type: | | Working Paper |
| Appears in Collections: | | Memorandum, Department of Economics, University of Oslo
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