包含h-极大单调映象的广义混合拟变分包含组的灵敏性分析(英文)  

Sensitivity Analysis for a System of Generalized Mixed Quasi-variational Inclusions Involving h-Maximal Monotone Mappings

作　　者：丁协平[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2007年第1期1-9,共9页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅重点学科建设基金资助项目

摘　　要：引入了一类新的包含h-极大单调映象的参数广义混合拟变分包含组.利用h-极大单调映象的豫解算子技巧和集值压缩映象不动点集的性质,证明了解的存在性和研究了此参数广义混合拟变分包含组解集的性质和灵敏性分析.方法和结果是新的且推广了这一领域内许多已知结果.In this paper, we introduce a new system of parametric generalized mixed quasi-variational inclusions involving set-valued mappings and h-maximal monotone mappings. By using resolvent operator technique of h-maximal monotone mappings and the property of fixed point set of set-valued contractive mappings, we prove the existence of solutions and study the behavior and sensitivity analysis of solution set for the system of generalized mixed quasivariational inclusions. Our approach and results are new and generalize many known results in this field.

关 键 词：参数广义混合拟变分包含组 h-极大单调 灵敏性分析 豫解算子 HILBERT空间 

分 类 号：O177.92[理学—数学]