%0 Journal Article
%T 自反Banach空间中右Bregman强非扩张映射的强收敛定理<br>Strong convergence theorem for right Bregman strongly nonexpensive mappings in reflexive Banach spaces
%A 万丙晟
%A 黄建华
%J 四川大学学报 (自然科学版)
%D 2018
%X 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,将此方法应用到求解极大单调算子的零点问题上.<br>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.Finally,the application to a common zero of a finite family of maximal monote mappings is given by the result
%K 自反的Banach空间 Mann-Halpern型迭代算法 右Bregman强非扩张映射&lt
%K br&gt
%K reflexive real Banach spaces Mann-Halpern algorithm right Bregman strongly nonexpansive mappings
%U http://science.ijournals.cn/jsunature_cn/ch/reader/view_abstract.aspx?file_no=Z170503&flag=1