集优化问题的适定性与解集映射的半连续性研究

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1、西南大学硕士学位论文目录目目目录录录目录······································································i摘要······································································iiiAbstract·································································v1绪论·······················

2、············································11.1优化相关理论研究概述·············································11.1.1集优化问题·················································11.1.2优化问题的适定性··········································21.1.3优化问题的解集映射的连续性····························

3、···41.1.4标量化函数·················································41.2本文主要研究内容·················································52预备知识······························································72.1基本假设及定义···················································73集优化问题的逐点Le

4、vitin-Polyak适定性与标量化····················93.1预备知识··························································93.2集优化问题的Levitin-Polyak适定性································133.3标量化结果························································164集优化问题的带扰动的广义l-适定性················

5、···················224.1预备知识··························································224.2集优化问题的带扰动的适定性······································244.3适定性与解集映射的半连续性······································294.4标量化结果························································32

6、i西南大学硕士学位论文目录5总结与展望····························································365.1本文工作的总结···················································365.2未来工作的展望···················································36参考文献·······················································

7、··········37致谢······································································40已完成文章目录···························································41ii西南大学硕士学位论文摘要集优化问题的适定性与解集映射的半连续性研究运筹学与控制论专业硕士研究生刘佳指导教师陈加伟副教授摘要本文主要研究的是集优化问题的逐点Levitin-Polyak适定性以及带扰动的广义l-适定性.一方

8、面研究了集优化问题的逐点Levitin-Polyak适定性:首先引入集优化问题的三种逐点Levitin-Polyak适定性，即逐点Levitin-PolyakL-适定性、逐点Levitin-PolyakB-适定性和逐点Levitin-PolyakDH-适定性;接着建立了三种逐