Banach空间内一类广义隐变分包含解集的灵敏性分析  

Sensitivity Analysis of Solution Set for a Class of Generalized Implicity Variational Inclusions in Banach Spaces.

作　　者：周若菡[1] 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）》2009年第2期152-156,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅自然科学重点基金(07ZA092)资助项目

摘　　要：在Banach空间内引入和研究了一类参数形式的广义隐变分包含．运用J^η型近似算子技巧和集值压缩映射不动点集的性质，在适当假设下证明了这类变分包含解集的非空闭性和解集关于参数的Lipschitz连续性．A class of parametric generalized implicit variational inclusions is introduced and studied in Banach spaces. By using J^η-proximal operator technique and the property of fixed point set of set-valued contractive mappings, we prove that under suitable assumptions the solution set of the parametric generalized implicit variational inclusions is nonempty closed and Lipschitz-continuous with respect to the parameter.

关 键 词：参数形式的广义隐变分包含 Η-次微分 J~η型近似算子 灵敏性分析 BANACH空间 

分 类 号：O177.92[理学—数学]