关于强伪压缩算子与强增生算子的Ishikawa型迭代序列收敛性的特征(英文)

On the Characteristics of the Convergence of Ishikawa Type Iterative Sequences for Strong Pseudocontractions and Strongly Accretive Operators

中文关键词:  Ishikawa型迭代序列  强伪压缩算子  强增生算子  任意Banach空间

英文关键词:Ishikawa type iterative sequences  strong pseudocontractions  strongly accretive operators  arbitrary Banach spaces.

中文摘要:

      本文结果表征了用于构造强增生算子方程解,m-增生算子方程解及强伪压缩算子不动点的(带误差的)Ishikawa型迭代序列的收敛性,推广与改进了Chidume与Osilike的定理1,定理2及定理3(Nonlinear Anal.TMA,1999,36(7):863-872)。

英文摘要:

      In this paper, the results characterize the convergence of Ishikawa type iterative sequences (with errors) for constructing the solutions of strongly accretive operator equations, the solutions of rn-accretive operator equations, and the fixed points of strong pseudocontractions. These results extend and improve Theorems 1-3 of Chidume and Osilike (Nonlinear Anal. TMA, 1999, 36(7): 863-872).