平均非扩张映射的三种迭代收敛的等价性

The Equivalence of Three Iterations for Mean Non-expensive Mapping

设X为一致凸Banach空间,T为平均非扩张映射.证明了平均非扩张映射T的某些Ishikawa迭代序列与Mann迭代序列的收敛性是等价的.

Let X is a uniformly convex Banach space,and let T is a Mean non-expensive mapping. The corresponding Picard iteration,the Mann iteration and the Ishikawa ieration are equivalent when applied to Mean non-expensive mapping is proved.