| 一类抽象锥不等式的全局误差界的几个等价条件 |
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| 引用本文： | 于海姝,宋文. 一类抽象锥不等式的全局误差界的几个等价条件[J]. 黑龙江大学自然科学学报, 2007, 24(4): 539-542 |
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| 作者姓名： | 于海姝 宋文 |
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| 作者单位： | 哈尔滨师范大学,数学系,哈尔滨,150025;哈尔滨师范大学,数学系,哈尔滨,150025 |
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| 基金项目： | 国家自然科学基金资助项目(10471032)，教育部优秀青年教师资助计划项目 |
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| 摘 要： | 针对一类有约束的抽象锥不等式,研究其可行解集的全局误差界.利用集合的法锥、切锥以及凸函数的次微分和方向导数给出了全局误差界的几个等价条件.
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| 关 键 词： | 全局误差界 抽象锥不等式 次微分 Gateaux可微 |
| 文章编号： | 1001-7011(2007)04-0539-04 |
| 修稿时间： | 2006-03-27 |
Several equivalent conditions of global error bounds for a kind of abstract conic inequalities |
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| Yu Haishu,Song Wen. Several equivalent conditions of global error bounds for a kind of abstract conic inequalities[J]. Journal of Natural Science of Heilongjiang University, 2007, 24(4): 539-542 |
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| Authors: | Yu Haishu Song Wen |
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| Abstract: | Global error bounds for the solution set of an abstract conic inequality are studied.Several equivalent characterizations for global error bounds of this inequality are obtained by using the normal cone and the tangent cone of the feasible solution set and Gateaux derivative of operators. |
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| Keywords: | global error bounds abstract conic inequality subdifferential Gateaux differentiable |
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