有限族渐近非扩张映像公共不动点显迭代逼近的弱和强收敛定理

Weak and Strong Convergence of Non-implicit Composite Iteration for Common Fixed Points of a Finite

摘要: 介绍了Banach空间中有限族渐近非扩张映像公共不动点的新显迭代逼近方法,并得到迭代序列的弱和强收敛定理.文中引进的序列为显迭代序列,改进了文献1的隐迭代序列形式.

Abstract: A new non-implicit composite iterative process was introduced,and weak and strong convergence theorems of the non-implicit iteration for a finite family of asymptotically nonexpansive mappings in Banach spaces,which extended Ref.1 from implicit iteration to non-implicit iteration,was obtained.