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

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.