| Banach空间中极值问题的高阶最优性充分条件 |
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| 引用本文： | 陈修素,罗国光.Banach空间中极值问题的高阶最优性充分条件[J].重庆大学学报(自然科学版),1989(3). |
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| 作者姓名： | 陈修素 罗国光 |
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| 作者单位： | 重庆大学应用数学系
(陈修素)，重庆大学应用数学系(罗国光) |
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| 摘 要： | 本文考虑Banach空间中带约束的极值问题(P),通过引入容许集合的高阶逼近,首次建立了无限维空间上优化问题(P)的高于三阶的最优性充分条件,并概括了〔1,3,5,6,7〕中的极值问题最优性充分条件的二阶结果。
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| 关 键 词： | 最优性充分条件 高阶逼近 最优点(解) |
HIGHER ORDER OPTIMILITY SUFFICIENT CONDITION OF EXTREMUM PROBLEM IN BANACH SPACES |
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| Chen Xiushu Luo Guoguang.HIGHER ORDER OPTIMILITY SUFFICIENT CONDITION OF EXTREMUM PROBLEM IN BANACH SPACES[J].Journal of Chongqing University(Natural Science Edition),1989(3). |
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| Authors: | Chen Xiushu Luo Guoguang |
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| Affiliation: | Chen Xiushu Luo Guoguang |
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| Abstract: | In this paper the constrained extremum problem(P) in Banach spaces is discussed. First the higher order (more than three) optimality sufficient condition of the problem (P) in infinite dimenssion spaces is established with defining and introducing higher order approximation of the feasible set,it generalizes the theory of second order optimality sufficient conditions on the extremum problem of 1.3.5.6.7]. |
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| Keywords: | optimality sufficient condition higher order approximation optimum point (solution) |
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