On Several Types of Basic Constraint Qualifications via Coderivatives for Generalized Equations

In this paper, we study several types of basic constraint qualifications in terms of Clarke/Fréchet coderivatives for generalized equations. Several necessary and/or sufficient conditions are given to ensure these constraint qualifications. It is proved that basic constraint qualification and strong...

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Veröffentlicht in:Journal of optimization theory and applications Jg. 177; H. 1; S. 106 - 126
Hauptverfasser: Wei, Zhou, Yao, Jen-Chih
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.04.2018
Springer Nature B.V
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ISSN:0022-3239, 1573-2878
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Abstract In this paper, we study several types of basic constraint qualifications in terms of Clarke/Fréchet coderivatives for generalized equations. Several necessary and/or sufficient conditions are given to ensure these constraint qualifications. It is proved that basic constraint qualification and strong basic constraint qualification for convex generalized equations can be obtained by these constraint qualifications, and the existing results on constraint qualifications for the inequality system can be deduced from the given conditions in this paper. The main work of this paper is an extension of the study on constraint qualifications from inequality systems to generalized equations.
AbstractList In this paper, we study several types of basic constraint qualifications in terms of Clarke/Fréchet coderivatives for generalized equations. Several necessary and/or sufficient conditions are given to ensure these constraint qualifications. It is proved that basic constraint qualification and strong basic constraint qualification for convex generalized equations can be obtained by these constraint qualifications, and the existing results on constraint qualifications for the inequality system can be deduced from the given conditions in this paper. The main work of this paper is an extension of the study on constraint qualifications from inequality systems to generalized equations.
Author Yao, Jen-Chih
Wei, Zhou
Author_xml – sequence: 1
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  surname: Wei
  fullname: Wei, Zhou
  organization: Department of Mathematics, Yunnan University
– sequence: 2
  givenname: Jen-Chih
  surname: Yao
  fullname: Yao, Jen-Chih
  email: yaojc@mail.cmu.edu.tw
  organization: Center for General Education, China Medical University, Research Center of Nonlinear Analysis and Optimization, Kaohsiung Medical University
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Cites_doi 10.1007/s11228-008-0076-x
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Keywords 90C31
Normal cone
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49J52
Coderivative
Generalized equation
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End set
Basic constraint qualification
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Snippet In this paper, we study several types of basic constraint qualifications in terms of Clarke/Fréchet coderivatives for generalized equations. Several necessary...
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SubjectTerms Applications of Mathematics
Calculus of Variations and Optimal Control; Optimization
Engineering
Mathematical analysis
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Qualifications
Theory of Computation
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Title On Several Types of Basic Constraint Qualifications via Coderivatives for Generalized Equations
URI https://link.springer.com/article/10.1007/s10957-018-1231-7
https://www.proquest.com/docview/2001507229
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