【摘要】 设E是具有一致正规结构的实Banach空间,其范数是一致Gateaux可微的．设D 是E的非空有界闭凸子集,T:D→D是渐近非扩张映象．该证明了,在一些适当的条件下,修正的Reich-Takahashi型迭代法强收敛到渐近非扩张映象T的不动点．更多还原

【Abstract】 Let E be a real Banach space with uniform normal structure, whose norm is uniformly Gateaux differentiable. Let D be a nonempty bounded closed convex subset of E and T : D→D be an asymptotically nonexpansive mapping. It is shown that under some suitable conditions, the modified Reich-Takahashi type iteration method converges strongly to a fixed point of T.更多还原