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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Vydáno v:Optimization Ročník 65; číslo 4; s. 671 - 700
Hlavní autoři: Gfrerer, Helmut, Outrata, Jiří V.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Philadelphia Taylor & Francis 02.04.2016
Taylor & Francis LLC
Témata:
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
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Abstract 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.
AbstractList The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to [Image omitted.] 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.
The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to [Formula omitted.] 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.
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.
Author Gfrerer, Helmut
Outrata, Jiří V.
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  givenname: Jiří V.
  surname: Outrata
  fullname: Outrata, Jiří V.
  organization: Centre for Informatics and Applied Optimization, School of Science, Information Technology and Engineering, Federation University of Australia
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Cites_doi 10.1137/060665609
10.1287/moor.9.1.87
10.1137/090761318
10.1137/110852528
10.1007/s11228-013-0266-z
10.1007/978-0-387-87821-8
10.1137/S1052623495284029
10.1007/978-3-642-02431-3
10.1016/0041-5553(85)90069-2
10.1287/moor.5.1.43
10.1007/s11228-012-0220-5
10.1137/120891216
10.1007/s10107-003-0452-0
10.1007/s10492-007-0028-z
10.1007/3-540-31247-1
10.1137/100807168
10.1137/130914449
10.1137/S1052623400377153
10.1007/978-1-4612-1394-9
10.1287/moor.24.3.627
10.1007/978-3-0348-6328-5
10.1016/j.na.2008.11.089
10.1137/100813415
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Snippet The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to inequality constraints under weak qualification...
The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to [Formula omitted.] inequality constraints under weak...
The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to [Image omitted.] inequality constraints under weak...
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SubjectTerms 2-regularity
Computation
Constraining
Inequalities
Inequality
limiting normal cone
Mapping
Mathematical analysis
Mathematical models
Mathematics
metric regularity and subregularity
Optimization
parameterized generalized equations
Studies
Title On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications
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