| 集值优化全局真有效解的最优性条件 |
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| 引用本文： | 余国林,刘三阳.集值优化全局真有效解的最优性条件[J].应用数学学报,2010,33(1). |
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| 作者姓名： | 余国林 刘三阳 |
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| 作者单位： | 1. 北方民族大学信息与系统科学研究所,银川,750021
2. 西安电子科技大学应用数学系,西安,710071 |
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| 基金项目： | 国家青年自然科学基金，国家民委自然科学基金，宁夏自然科学基金项目 |
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| 摘 要： | 本文引进集值映射的全局真有效次微分的概念,并用它得到了约束集值优化问题全局真有效解在集值映射的支撑函数和Lagrange乘子形式下的最优性必要条件.
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| 关 键 词： | 集值映射 全局真有效性 次微分 支撑函数 Lagrange乘子 |
Optimality Conditions of Globally Proper Efficient Solutions for Set-valued Optimization Problem |
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| YU GUOLIN,LIU SANYANG.Optimality Conditions of Globally Proper Efficient Solutions for Set-valued Optimization Problem[J].Acta Mathematicae Applicatae Sinica,2010,33(1). |
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| Authors: | YU GUOLIN LIU SANYANG |
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| Abstract: | In this paper, the concept of globally proper efficient subdifferential is introduced for a set-valued mapping. The necessary optimality conditions of the constraintset-valued optimization problem for globlly proper efficient solutions are established in terms of support function of set-valed mapping and Lagrange multiplier by using the concept of globally proper efficient subdifferential for set-valued mapping. |
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| Keywords: | set-valued mapping globally proper efficiency subdifferential support function Lagrange multiplier |
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