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

Zhou Wei () and Jen-Chih Yao ()
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Zhou Wei: Yunnan University
Jen-Chih Yao: China Medical University

Journal of Optimization Theory and Applications, 2018, vol. 177, issue 1, No 5, 106-126

Abstract: 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.

Keywords: Basic constraint qualification; Normal cone; Coderivative; Generalized equation; End set; 90C31; 90C25; 49J52; 46B20 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-018-1231-7

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