Abadie Constraint Qualifications for Convex Constraint Systems and Applications to Calmness Property |
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| Authors: | Zhou Wei Jen-Chih Yao |
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| Institution: | 1.Department of Mathematics,Yunnan University,Kunming,People’s Republic of China;2.Center for General Education,China Medical University,Taichung,Taiwan;3.Research Center of Nonlinear Analysis and Optimization,Kaohsiung Medical University,Kaohsiung,Taiwan |
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| 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. |
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