一致半压缩映像的Ishikawa和Mann迭代过程的收敛性问题
On the Convergence Problems of Ishikawa and Mann Iterative Processes for Uniformly Hemi-Contractions
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摘要: 设E为赋范线性空间,D是E的非空子集,T:D→E为Lipschitz连续和一致半压缩映像,在αn→0,βn→0和∑αn=∞的条件下,证明了一致半压缩映像的不动点的Ishikawa和Mann迭代方法的强收敛性.Abstract: Let E be a normal linear space, D be a nonempty subset of E and T: D → E be a Lipschitz and uniformly hemi-contractive mapping. Under condition, αn → 0, βn → 0 and ∞∑1 αn = ∞, it is proved that the Ishikawa methods converges strongly to the fixed point of Lipschitz uniformly hemi-contractive mapping.
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Key words:
- normal linear space .
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