一类具有p-η-映射的集值变分包含组  

Existence of Solutions for A Class p-η Mapping of Set-valued Variational Inclusions

作　　者：吴梅花[1] 

机构地区：[1]内蒙古民族大学数学学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报（自然科学版）》2011年第4期382-386,共5页Journal of Inner Mongolia Minzu University：Natural Sciences

摘　　要：利用与p-η-映射相联系的预解算子技巧,在实Banach空间中构造了一类寻求具有p-η-映射的集值变分包含组问题(SSVIP)近似解的新迭代算法.在适当条件下,证明了由该算法生成的迭代序列强收敛于(SSVIP)的精确解.In real Banach spaces,by using the resolvent operator technique associated with p-η mapping,we then construct a new iterative algorithm for finding the approximate solution of a class systems of set-valued variational inclusions problem（SSVIP） with p-η mapping.Finally,under proper conditions,we prove the iterative sequence generated by the new algorithm converges strongly to the exact solution of SSVIP.

关 键 词：p-η-映射 集值变分包含组 预解算子 BANACH空间 迭代序列 收敛 

分 类 号：O177.92[理学—数学] O178[理学—基础数学]