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Title:Open mapping theorems for directionally differentiable functions PDF Logo
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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