摘要
Let E be a real Banach space and T be a continuous Φ-strongly accretive operator. By using a new analytical method, it is proved that the convergence of Mann, Ishikawa and three-step iterations are equivalent to the convergence of multistep iteration. The results of this paper extend the results of Rhoades and Soltuz in some aspects.
Let E be a real Banach space and T be a continuous Φ-strongly accretive operator. By using a new analytical method, it is proved that the convergence of Mann, Ishikawa and three-step iterations are equivalent to the convergence of multistep iteration. The results of this paper extend the results of Rhoades and Soltuz in some aspects.
基金
Supported by the Nature Science Foundation of Guangdong Province (020163).
关键词
巴拿赫空间
泛函分析
叠代
等价性
Φ-strongly accretive operator
Φ-strongly pseudocontractive operator
continuous
Mann iteration
Ishikawa iteration
multistep iteration.