Stability and augmented Lagrangian duality in nonconvex semi-infinite programming |
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Authors: | NQ Huy |
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Institution: | a Department of Mathematics, Hanoi Pedagogical University No. 2, Xuan Hoa, Phuc Yen, Vinh Phuc Province, Viet Namb Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Republic of Korea |
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Abstract: | In this paper the pseudo-Lipschitz property of the constraint set mapping and the Lipschitz property of the optimal value function of parametric nonconvex semi-infinite optimization problems are obtained under suitable conditions on the limiting subdifferential and the limiting normal cone. Then we derive sufficient conditions for the strong duality of nonconvex semi-infinite optimality problems and a criterion for exact penalty representations via an augmented Lagrangian approach. Examples are given to illustrate the obtained results. |
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Keywords: | 90C34 90C31 46A20 |
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