Convergence of Ishikawa Iterative Sequences with Errors for Asymptotically Nonexpansive Mappings
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摘要: 讨论一致凸Banach空间E中的非空闭凸子集上渐近非扩张映象不动点集非空的充要条件,以及修正的带误差项的Ishikawa迭代序列收敛到不动点的充要条件,推广与发展了曾六川、于延荣等人的相应结果.
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关键词:
- 不动点 /
- 渐近非扩张映射 /
- 一致凸Banach空间 /
- Ishikawa迭代序列
Abstract: This paper mainly shows that sufficient and necessary conditions of nonempty fixed points and suffi-cient and necessary conditions of the modified Ishikawa iteration sequences with errors converged to fixed points for asymptotically nonexpansive mappings of a nonempty closed convex subset in an uniformly convex Banach space. The results presented also extended and improved some recent results. -
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