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• W4283709143 abstract "Based on the strong stationary condition, we formulate second-order and higher order duals for a mathematical program with complementary constraints (MPCC). Under suitable generalized convexity assumptions, we then propose several duality theorems for second and higher order duality in MPCC problems, including the weak duality, strong duality, converse duality, and strict converse duality theorems. Moreover, we present examples to illustrate these results, where one of them reveals that a lower bound provided by our proposed second-order duality is tighter than the one given by the first-order duality." @default.
• W4283709143 created "2022-06-30" @default.
• W4283709143 creator A5028063793 @default.
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• W4283709143 date "2022-06-29" @default.
• W4283709143 modified "2023-09-30" @default.
• W4283709143 title "Mangasarian-type second- and higher-order duality for mathematical programs with complementarity constraints" @default.
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• W4283709143 doi "https://doi.org/10.1080/02331934.2022.2094265" @default.
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