变分包含问题与非扩张映射的公共解的灵敏性分析  

Sensitivity Analysis for Common Solutions of Parametric Variational Inclusions and Nonexpansive Mappings

作　　者：毕亮亮[1] 范丽亚[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《信阳师范学院学报（自然科学版）》2010年第2期183-186,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10871226);山东省自然科学基金资助项目(ZR2009AL006)

摘　　要：引入参数变分包含问题与非扩张映射不动点问题的公共解,利用P-η-单调的预解算子技巧和压缩映射不动点集的性质,在Hilbert空间下研究了公共解的存在性和灵敏性分析.A new common solution of parametric variational inclusions and fixed-point problems of nonexpansive mappings is introduced. By applying resolvent operator technique of P-η-monotone mappings and the property of the fixed-point set of contractive mappings, the behavior and sensitivity analysis of the common solution are studied in a real Hilbert space.

关 键 词：参数变分包含 灵敏性分析 非扩张映射 P-η-单调映射 预解算子 

分 类 号：O178[理学—数学]