Implicit Function Theorems for Nondifferentiable Mappings

Sufficient conditions are given for a mapping to be y-G inverse differentiable. Constrained implicit function theorems for y-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 y-G inverse...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 129; no. 2; pp. 277 - 292
Main Author:	Bian, W.
Format:	Journal Article
Language:	English
Published:	New York, NY Springer 01.05.2006 Springer Nature B.V
Subjects:	Applied sciences Approximation Constraints Exact sciences and technology Inverse Mapping Mathematical models Mathematical programming Operational research and scientific management Operational research. Management science Optimization Studies Theorems Theory Cone Linear transformation Variational principle implicit function theorems Inverse transformation Implicit function theorem Differentiability γ-G inverse differentiability Ekeland's variational principle
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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