| UNIFORM APPROXIMATION OF A MULTIOBJECTIVE OPTIMIZATION SEQUENCE |
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| 引用本文： | 胡毓达,徐永明. UNIFORM APPROXIMATION OF A MULTIOBJECTIVE OPTIMIZATION SEQUENCE[J]. 高校应用数学学报(A辑), 1992, 0(3) |
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| 作者姓名： | 胡毓达 徐永明 |
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| 作者单位： | Shanghai Jiao Tong University，Shanghai 200030，Shanghai Jiao Tong University，Shanghai 200030 |
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| 基金项目： | This paper is supported by the National Science Foundation |
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| 摘 要： | In this paper the Pareto efficiency of a uniformly convergent multiobjective optimization sequence is studied. We obtain some relation between the Pareto efficient solutions of a given multiobjective optimization problem and those of its uniformly convergent optimization sequence and also some relation between the weak Pareto efficient solutions of the same optimization problem and those of its uniformly convergent optimization sequence. Besides, under a compact convex assumption for constraints set and a certain convex assumption for both objective and constraint functions, we also get some sufficient and necessary conditions that the limit of solutions of a uniformly convergent multiobjective optimization sequence is the solution of a given multiobjective optimization problem.
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UNIFORM APPROXIMATION OF A MULTIOBJECTIVE OPTIMIZATION SEQUENCE |
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| Hu Yuda Xu Yongming. UNIFORM APPROXIMATION OF A MULTIOBJECTIVE OPTIMIZATION SEQUENCE[J]. Applied Mathematics A Journal of Chinese Universities, 1992, 0(3) |
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| Authors: | Hu Yuda Xu Yongming |
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| Abstract: | In this paper the Pareto efficiency of a uniformly convergent multiobjective optimization sequence is studied. We obtain some relation between the Pareto efficient solutions of a given multiobjective optimization problem and those of its uniformly convergent optimization sequence and also some relation between the weak Pareto efficient solutions of the same optimization problem and those of its uniformly convergent optimization sequence. Besides, under a compact convex assumption for constraints set and a certain convex assumption for both objective and constraint functions, we also get some sufficient and necessary conditions that the limit of solutions of a uniformly convergent multiobjective optimization sequence is the solution of a given multiobjective optimization problem. |
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| Keywords: | Multiobjective Optimization Pareto Efficiency Uniform Approximation Lower Semi-continuity. |
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