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

作　　者：万丙晟[1] 黄建华[2] 

机构地区：[1]福建教育学院,福州350025 [2]福州大学数学与计算机科学学院,福州350116

出　　处：《四川大学学报（自然科学版）》2018年第1期18-24,共7页Journal of Sichuan University(Natural Science Edition)

基　　金：福建省中青年教师教育科研项目基金(JA15610)

摘　　要：本文在实自反的Banach空间中针对有限族右Bregman强非扩张映射公共不动点构造了一类新型的Mann-Halpern型迭代算法,在适当条件下证明了该算法产生的序列的强收敛性.更进一步地,本文将此方法应用到求解极大单调算子的零点问题上.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 

分 类 号：O177.91[理学—数学]