一致凸Banach空间中渐近非扩张映像不动点的收敛定理

A Convergence Theorem of Fixed Point for Asymptotically Non-expansive Mappings in Uniformly Convex Banach Spaces

在一致凸Banach空间中,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, the author proves that the iterative sequence converges strongly to the fixed point of asymptotically non-expansive mapping in uniformly convex Banach spaces. The conclusion improves and generalizes rome important results in the literature.