复合Halpern迭代逼近增生映像的零点  

Composite Halpern Iteration for Approximating a Zero Point of Accretive Operators

作　　者：田明[1] 章荣华[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《杭州电子科技大学学报（自然科学版）》2009年第3期84-87,共4页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：天津市自然科学基金资助项目(06YFJMJC12500)

摘　　要：该文分别在一致光滑Banach空间和具有弱连续对偶映像的自反Banach空间框架下,给出了一种逼近增生映像零点的复合Halpern迭代序列,并证明了该迭代序列的强收敛定理,从而推广了文献2、3中的相应结果。A composite Halpern iteration is introduced for approximating a zero point of accretive maps in the framework of uniformly smooth Banach spaces and reflexive Banach space which has a weak continuous duality map respectively.The strong convergence theorems for the iteration are also proved.The results presented improve and extend the corresponding ones of and other authors.

关 键 词：增生映像 太阳非扩张收缩 零点 

分 类 号：O177.91[理学—数学]