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凸度量空间上关于2N-映射的公共不动点的Ishikawa迭代的收敛性
引用本文:朴勇杰,许晖.凸度量空间上关于2N-映射的公共不动点的Ishikawa迭代的收敛性[J].黑龙江大学自然科学学报,2008,25(4).
作者姓名:朴勇杰  许晖
摘    要:在凸度量空间上构造了与2N-映射关联的lshikawa迭代模型,并证明了如果该迭代序列收敛于一个点P,则P是该2N-映射的公共不动点.此结果对文献Archeivum Math(BRNO),2003,39:123-127.]的结果和其它许多结论进行了一般化.

关 键 词:Ishikawa迭代模型  公共不动点  收敛  凸结构  凸度量空间

The convergence of Ishikawa iterates to a common fixed point for 2N-mappings on convex metric spaces
Piao Yongjie,Xu Hui.The convergence of Ishikawa iterates to a common fixed point for 2N-mappings on convex metric spaces[J].Journal of Natural Science of Heilongjiang University,2008,25(4).
Authors:Piao Yongjie  Xu Hui
Abstract:The Ishikawa iteration scheme associated with 2N-non-self-mappings was constructed on convex metric spaces, and it is proved that p is the common fixed point of the 2N-mappings if the se-quence of the iteration converges to p. This result generalizes the corresponding result in Archeivum Math(BRNO). , 2003, 39:123-127.] and many other results.
Keywords:Ishikawa iterate scheme  common fixed point  convergent  convex structure  convexmetric space
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