渐近伪压缩映象的迭代序列强收敛的充要条件

Necessary and Sufficient Conditions for Strongly Convergence of Iterative Sequence of Asymptotically Pseudo-Contraction Mapping

给出了实Banach空间中渐近伪压缩映象和渐近非扩张映象带随机误差的Ishikawa迭代序列强收敛于某不动点的充要条件,所得结果改进和推广了张石生、LiuQH等人的最新结果.

Some necessary and sufficient conditions for strongly convergence of Ishikawa iterative sequence with random errors of fixed points for asymptotically pseudo-contraction mappings and asymptotically non-expansive mapping in real Banach spaces were given .The results include,extend,and improve some recent results given by Zhang Shi-sen,Liu Q H,etc.