On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications

The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to inequality constraints under weak qualification conditions. The obtained results are applied to verify the Aubin property of solution maps to a class of parameterized generalized equations.

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Bibliographic Details
Published in:Optimization Vol. 65; no. 4; pp. 671 - 700
Main Authors: Gfrerer, Helmut, Outrata, Jiří V.
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis 02.04.2016
Taylor & Francis LLC
Subjects:
2-regularity
Computation
Constraining
Inequalities
Inequality
limiting normal cone
Mapping
Mathematical analysis
Mathematical models
Mathematics
metric regularity and subregularity
Optimization
parameterized generalized equations
Studies
ISSN:0233-1934, 1029-4945
Online Access:Get full text
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Summary:The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to inequality constraints under weak qualification conditions. The obtained results are applied to verify the Aubin property of solution maps to a class of parameterized generalized equations.
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2015.1066372