期刊文献+

度量空间中单调型迭代格式的收敛原理

Convergence Principles for the Iterative Schemes of Monotone Type in Metric Spaces
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摘要 在度量空间中建立了一般收敛原理,然后将这些收敛原理应用于一些映像的逼近不动点的迭代序列的收敛问题,减弱了映像的限定条件,去掉了某些迭代参数的限定条件,从而改进和补充了原有结果. Some general convergence principles are established in metric spaces and then these principles are applied to the convergence of the iterative sequences for approximating fixed points of certain classes of mappings,and the confined conditions of mappings are reduced,and the certain iterative parameters are deleted,and those known ones are extended.
出处 《河北师范大学学报(自然科学版)》 CAS 2004年第6期545-547,共3页 Journal of Hebei Normal University:Natural Science
基金 国家基金委员会科学研究基金资助项目(96302017) 军械工程学院科学研究基金资助项目(2003yjj12)
关键词 收敛 度量空间 迭代格式 单调型 迭代参数 迭代序列 不动点 原理 convergence principles metric spaces the iterative scheme of monotone type
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参考文献6

  • 1TAN K K, XU Hua-kong. Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process [J]. J Math Anal Appl, 1993,178:301-308.
  • 2LIU Qi-hou. Iterative sequences for asymptotically quasi-nonexpansive mappings [J]. J Math Anal Appl,2001,259:1-7.
  • 3LIU Qi-hou. Iterative sequences for asymptotically quasi-nonexpansive mappings with error members [ J ]. J Math Anal Appl, 2001,259:18-24.
  • 4TAN K K,XU Hua-kong.Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process [J].J Math Anal Appl,1993,178:301-308.
  • 5LIU Qi-hou.Iterative sequences for asymptotically quasi-nonexpansive mappings [J].J Math Anal Appl,2001,259:1-7.
  • 6LIU Qi-hou.Iterative sequences for asymptotically quasi-nonexpansive mappings with error members [J].J Math Anal Appl,2001,259:18-24.

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