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一致凸Banach空间非扩张映像具误差的Ishikawa迭代
On the Convergence Theorem of Ishikawa Iterative With Error for Nonexpansive Mappings in a Uniformly Conxve Banach Spaces
【摘要】 研究一致凸 Banach空间中非扩张映像迭代序列的收敛问题 ,使用了基于 Ishikawa迭代的一种具误差的 Ishikawa迭代 ,证明了非扩张映像的具误差的 Ishikawa迭代收敛定理 .
【Abstract】 The purpose of this paper is to introduce the concept of approximate Picard iteration for nonexpansive mapping and to study the convergence problems. The relatively fine convergence theorems of approximate Picard iteration and Ishikawa iteration for nonexpansive mappings on closed convex in a Uniformly convea Banach spaces was proved.
【关键词】 一致凸;
Ishikawa迭代;
具误差的Ishikawa迭代;
收敛定理;
【Key words】 uniformly convex; ishikawa iteration; approixmate picard iteration; convergence theorem;
【Key words】 uniformly convex; ishikawa iteration; approixmate picard iteration; convergence theorem;
- 【文献出处】 数学的实践与认识 ,Mathematics In Practice and Theory , 编辑部邮箱 ,2004年08期
- 【分类号】O241.5
- 【被引频次】9
- 【下载频次】36