关于一致φ-增生映射的4种迭代收敛程序的等价性

Equivalence among convergence of four iterations for uniformly φ-accretive mappings

在Mann迭代、Ishikawa迭代收敛程序的等价性基础上讨论了最广泛的一致φ-增生映射的Mann迭代、Ishikawa迭代、带误差的Mann迭代、带误差的Ishikawa迭代这4种迭代收敛程序的等价性。文中的结果是2种迭代收敛程序等价性相关结果的推广和提高。

Based on the equivalence between Mann iteration and Ishikawa iteration,the equivalence of the convergence of four iterations such as Mann iteration,Ishikawa iteration,Mann iteration with errors,Ishikawa iteration with errors was studied. The mapping of uniformly φ-accretive mapping was found to be the best. The results might extend and improve the corresponding results on the two iterations.