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凸度量空间中渐近拟非扩张映象的Ishikawa型迭代序列的收敛性

Convergence of Ishikawa type iterative sequence of asymptoticallyquasi-nonexpansive mappings in convex metric space
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摘要 给出了凸度量空间中渐近拟非扩张映象的Ishikawa型迭代序列收敛于不动点的充要条件,所得结果推广、改进和包含了刘启厚[1]等人的最新成果。 Some necessary and sufficient conditions that Ishikawa iterative sequence convergent to the fixed points for asymptotically quasi-nonexpansive mappings in the convex metric space are given. The results improve, extend and include some recent results by Liu Qi-hou and so on.
作者 陈孝春 叶明富
机构地区 成都信息工程学院计算科学系
出处 《成都信息工程学院学报》 2004年第4期584-587,共4页 Journal of Chengdu University of Information Technology
关键词 凸度量空间 渐近拟非扩张映象 ISHIKAWA迭代序列 收敛性 convex metric space asymptotically quasi-nonexpansive mappings Ishikawa iterative sequence convergence
分类号 O177.91 [理学—基础数学]
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参考文献5

  • 1Liu Qihou. Iterative sequences for asymptotically quasi-nonexpansive mappings, [J]. Math. Anal. Appl.2001,259:1-7.
  • 2W. V. Petryshyn and T. E. Williamson. Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings,[J]. Math. Anal. Appl. 1973,43:459-497.
  • 3Ciric L B.A generalization of Banach's contraction principle[J]. Proc Amer Math Soc, 1974,45: 267-273.
  • 4M. K. Gosh and L. Debnath. Convergence of Ishikawa iterates of quasi-nonexpansive mappings, [J]. Math. Anal. Appl. 1997,207:96-103.
  • 5田有先,张石生.凸度量空间中拟压缩映象具误差的Ishikawa型迭代序列的收敛性[J].应用数学和力学,2002,23(9):889-895. 被引量：11

二级参考文献11

  • 1[6]XU Hong-kun.A note on the Ishikawa iteration scheme[J].J Math Anal Appl,1992,167(2):582-587.
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  • 7[1]Chang Shi-sheng, Cho Y J, Jung J S, et al.Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces[J].J Math Anal Appl,1998,224(1):149-165.
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共引文献10

成都信息工程学院学报
2004年 第4期

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