一致凸Banach空间非扩张映象带双误差的Ishikawa迭代

On the Ishikawa Iterative Sequences with Double Errors for Nonexpansive Mappings on a Uniformly Convex Banach Spaces

在一致凸Banach空间上,研究了半紧的非扩张映象Tx-Ty x-y 的Ishikawa序列的收敛问题,建立并证明了带双误差的Ishikawa迭代逼近收敛定理,从而推广并改进了某些已知的结果.

This paper studies the convergence problem of Ishikawa iterative approximation sequence for the semicompacting nonexpensive mapping Tx-Tyx-y on a uniformly convex Banach space, and sets up and proves the convergence theorems with double error Ishikawa, thus popularizing and improving certain recent corresponding results.