一致凸Banach空间中渐近非扩张映像不动点的Ishikawa收敛定理的改进与推广

Ishikawa Process for Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

在一致凸Banach空间中,我们证明了修改的Ishikawa迭代强收敛到渐近非扩张映像不动点的收敛定理。文章中的结论改进并推广了文献中最近所得到的一些重要结果。

By using modified Ishikawa iterative process, we prove that the iterative sequence converges strongly to the fixed point of asymptotically nonexpansive mapping in uniformly convex Banach Spaces. the resule improves and generalizes many important results in literature.