Robinson’s implicit function theorem and its extensions

S. M. Robinson published in 1980 a powerful theorem about solutions to certain “generalized equations” corresponding to parameterized variational inequalities which could represent the first-order optimality conditions in nonlinear programming, in particular. In fact, his result covered much of the...

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Bibliographic Details
Published in:	Mathematical programming Vol. 117; no. 1-2; pp. 129 - 147
Main Authors:	Dontchev, A. L., Rockafellar, R. T.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.03.2009 Springer Nature B.V
Subjects:	Approximation Banach spaces Calculus of Variations and Optimal Control; Optimization Combinatorics Full Length Paper Localization Mathematical and Computational Physics Mathematical Methods in Physics Mathematical programming Mathematics Mathematics and Statistics Mathematics of Computing Neighborhoods Numerical Analysis Optimization Studies Theoretical 90C31 49J53 Semiderivatives 47J07 Lipschitz modulus Calmness First-order approximations Inverse and implicit function theorems Variational inequalities
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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