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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Summary: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 differentiability in a finite-dimensional space is also presented. [PUBLICATION ABSTRACT]
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ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-006-9056-1