一类锥约束变分不等式问题的最优性条件及其在生态产业链中的应用

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1、目录i目目目录录录目录······································································i摘要······································································iiiAbstract·································································v1绪论························································

2、···········11.1研究背景及意义···················································11.1.1变分不等式和像空间分析研究·······························11.1.2生态产业(工业)链研究······································31.2本文主要工作······················································42预备知识··········································

3、····················72.1基本假设与定义···················································72.2相关引理及命题···················································82.3像空间分析和分离函数·············································83一类锥约束变分不等式问题的非线性分离方法··························113.1最优性条件·····························

4、···························113.1.1分离函数···················································113.1.2最优性条件·················································153.2间隙函数··························································243.3误差界····························································274生态

5、产业共生网络均衡系统中的逆变分不等式··························314.1生态产业共生网络结构及标号系统·································314.2基于生态产业共生网络的均衡逆变分不等式模型····················344.2.1生产者企业通过成本控制利润率的逆变分不等式·············344.2.2消费者企业通过成本控制利润率的逆变分不等式·············37ii西南大学硕士学位论文4.2.3分解者企业通过成本控制利润率的逆变分不等式·············384.2.4模型分析·

6、··················································405总结与展望····························································455.1本文工作的总结···················································455.2未来工作的展望···················································45参考文献········································

7、·························47致谢······································································53已完成文章目录···························································55目录摘要一类锥约束变分不等式问题的最优性条件及其在生态产业链中的应用运筹学与控制论专业硕士研究生董文指导教师陈加伟副教授摘要近年来,变分不等式作为研究均衡问题的有力统一方法,有关方面