Abadie Constraint Qualifications for Convex Constraint Systems and Applications to Calmness Property

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, 2017, vol. 174, issue 2, No 3, 388-407

Abstract: Abstract In this paper, we mainly study concepts of Abadie constraint qualification and strong Abadie constraint qualification for a convex constraint system defined by a closed convex multifunction and a closed convex subset. These concepts can cover Abadie constraint qualifications for the feasible region of convex optimization problem and the convex multifunction. Several characterizations for these Abadie constraint qualifications are also provided. As applications, we use these Abadie constraint qualifications to characterize calmness properties of the convex constraint system.

Keywords: Abadie CQ; Strong Abadie CQ; Convex constraint system; Calmness; 90C25; 90C31; 49J53 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-017-1115-2

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