| THE SECOND-ORDER CONDITIONS OF NONDOMINATED SOLUTIONS FOR C~(1,?) GENERALIZED MULTIOBJECTIVE MATHEMATICAL PROGRAMMING |
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| 引用本文： | 刘利平.THE SECOND-ORDER CONDITIONS OF NONDOMINATED SOLUTIONS FOR C~(1,?) GENERALIZED MULTIOBJECTIVE MATHEMATICAL PROGRAMMING[J].系统科学与复杂性,1991(2). |
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| 作者姓名： | 刘利平 |
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| 作者单位： | Department of |
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| 摘 要： | In this paper,the generalized Hessian matrix and the generalized second-order directional(?)erivative for C~(1,1)vector functions are defined.The extension of the vector second-order Taylorexpansion is derived.The second-order necessary and sufficient conditions for the local nondominatedsolutions associated with the given convex cone and polyhedral convex cone of the generalizedmultiobjective mathematical programming problem with C~(1,1)constrained functions are discussed.
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THE SECOND-ORDER CONDITIONS OF NONDOMINATED SOLUTIONS FOR C~(1,?) GENERALIZED MULTIOBJECTIVE MATHEMATICAL PROGRAMMING |
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| Liu Liping.THE SECOND-ORDER CONDITIONS OF NONDOMINATED SOLUTIONS FOR C~(1,?) GENERALIZED MULTIOBJECTIVE MATHEMATICAL PROGRAMMING[J].Journal of Systems Science and Complexity,1991(2). |
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| Authors: | Liu Liping |
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| Abstract: | In this paper,the generalized Hessian matrix and the generalized second-order directional
(?)erivative for C~(1,1)vector functions are defined.The extension of the vector second-order Taylor
expansion is derived.The second-order necessary and sufficient conditions for the local nondominated
solutions associated with the given convex cone and polyhedral convex cone of the generalized
multiobjective mathematical programming problem with C~(1,1)constrained functions are discussed. |
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| Keywords: | Nonsmooth multiobjective programming second-order conditions |
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