拟非扩张多值映像的分层最优化问题  

The Hierarchical Optimization Problems for Quasi-nonexpansive Multi-valued Mappings

作　　者：唐金芳[1] 

机构地区：[1]宜宾学院数学学院,四川宜宾644000

出　　处：《应用数学》2013年第2期314-319,共6页Mathematica Applicata

基　　金：四川省科技厅项目资助(2012JYZ011)

摘　　要：在Hilbert空间中引入拟非扩张多值映像的概念,讨论拟非扩张多值映像的分层最优化问题的迭代算法,在适当的条件下证明此迭代序列的强收敛性.文中所得到的结果,推广并改进了最近一些人所发布的新结果.In real Hilbert spaces, the concept of quasi-nonexpansive multi-valued mapping is introduced and the algorithm for solving the hierarchical optimization problem for this kind of mappings is studied. Under suitable conditions the strong convergence of the sequence is proved. The results extend and improve the corresponding results announced by many others.

关 键 词：拟非扩张多值映像 分层最优化问题 强收敛定理 

分 类 号：O177.5[理学—数学]