非扩张映象的不动点及迭代收敛性

The Fixed Point for Nonexpansive Mapping and Iterative Convergence

本文研究了Banach空间中非扩张映象的不动点理论。利用增生算子的某些结果得到了几个不动点定理。最后,还考虑了迭代叙列: X_(a+1)=(1-c_a)X_a+C_aTx_a收敛于不动点的条件。

This paper considers the Gxed point theory for nonexpansive mapping in Banach space. Use some results on the accertive operators, We obtain a few fixed theorems. At last, we also considers such conditions that the iteration sequence converge to fixed point.