四川大学学报(自然科学版)2018,Vol.55Issue(1):18-24,7.DOI:10.3969/j.issn.0490-6756.2018.01.004
自反Banach空间中右Bregman强非扩张映射的强收敛定理
Strong convergence theorem for right Bregman strongly nonexpensive mappings in reflexive Banach spaces
摘要
Abstract
In this paper ,we introduce Mann-Halpern algorithm for finding a common fixed point problem of finite family of right Bregman strongly nonexpansive mappings in reflexive mappings in reflexive real Banach spaces .Moreover ,we prove a strong convergence theorem under suitable control conditions .Fi-nally ,the application to a common zero of a finite family of maximal monote mappings is given by the re-sult .关键词
自反的Banach空间/Mann-Halpern型迭代算法/右Bregman强非扩张映射Key words
Reflexive real Banach spaces/Mann-Halpern algorithm/Right Bregman strongly nonexpan-sive mappings分类
数理科学引用本文复制引用
万丙晟,黄建华..自反Banach空间中右Bregman强非扩张映射的强收敛定理[J].四川大学学报(自然科学版),2018,55(1):18-24,7.基金项目
福建省中青年教师教育科研项目基金(JA15610) (JA15610)