| 拟微分映射的Demyanov和的上半连续性的一个注记 |
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| 引用本文： | 宋春玲,夏尊铨,张立卫. 拟微分映射的Demyanov和的上半连续性的一个注记[J]. 运筹学学报, 2007, 11(1): 33-38 |
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| 作者姓名： | 宋春玲 夏尊铨 张立卫 |
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| 作者单位： | 1. 佛山科学技术学院信息科学与数学系,佛山,528000
2. 大连理工大学应用数学系,大连,116024 |
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| 基金项目： | 高等学校博士学科点专项科研项目 |
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| 摘 要： | 本文给出了一类拟可微函数的拟微分映射的Demyanov和的上半连续性的结果,并利用Demyanov和,对具有不等式约束的拟可微函数的极小问题,给出了一个可行的下降方向．
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| 关 键 词： | 运筹学 非光滑优化 拟微分 Demyanov差(和) 最优性条件 |
| 修稿时间： | 2004-08-22 |
A Note on the Upper Semi-Continuity of Demyanov Sum of Quasidifferential Mappings |
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| Song Chunling,Xia Zunquan,Zhang Liwei. A Note on the Upper Semi-Continuity of Demyanov Sum of Quasidifferential Mappings[J]. OR Transactions, 2007, 11(1): 33-38 |
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| Authors: | Song Chunling Xia Zunquan Zhang Liwei |
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| Affiliation: | Department of Information Science and Mathematics, Foshan University, Foshan 528000, China;Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | The upper semi-continuity of Demyanov sum of quasidifferential map- pings for a class of quasidifferentiable functions is presented and a kind of feasible descent direction,generated via Demyanov sum,for minimizing a quasidifferentiable function with inequality constraints is given. |
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| Keywords: | Operations research non-smooth optimization quasidifferential calculus Demyanov difference(sum) optimality conditions |
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