摘要
设T为P—一致凸Banach空间非空闭有界凸子集上的全连续与浙近非扩张自映射,在一定条件下得到了Mann迭代序列和Ishikawa迭代序列强收敛于T的某个不动点,推广了文[2]的部分结果.(1<P≤2)
Let T be a Comgletelly Continuous and asymptotically nonexpansive self-mapping of a nonempty closeuy bounded and convex subSet of a p - uniform convex Banach spare. Then under certain conditions, the Mann iterative sequence and Ishikawa iterative Sequence converges strongly to some fixed point of T. The results generalize part rexults of reference[2].
关键词
一致凸空间
渐近非扩张映射
不动点
MANN迭代
P-uniform convex space, completely continuous, asymptotically nonexpansive mappings, Fixed-points, Mann iterative