Implicit Function Theorems for Nondifferentiable Mappings

W. Bian
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W. Bian: University of Southampton

Journal of Optimization Theory and Applications, 2006, vol. 129, issue 2, No 3, 277-292

Abstract: Abstract Sufficient conditions are given for a mapping to be γ-G inverse differentiable. Constrained implicit function theorems for γ-G inverse differentiable mappings are obtained, where the constraint is taken to be either a closed convex cone or a closed subset. A theorem without assuming the γ-G inverse differentiability in a finite-dimensional space is also presented.

Keywords: γ-G inverse differentiability; implicit function theorems; Ekeland's variational principle (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9056-1

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