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一致光滑Banach空间中多值Φ-伪压缩型映象不动点的迭代逼近 被引量:2

Iterative approximation of fixed points for multi -valued Φ-pseudo contractive type mapping in uniformly smooth Banish spaces
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摘要 使用某些分析技巧,研究 T Banach空间中多值 Φ-伪压缩型映象不动点的 Mann和Ishikawa迭代过程的收敛性问题。结果是Chang和Tan,Chidume,Osilike,Deng和Ding, Tan和Xu以及 Zhou和 Jia的相应结果的改进和推广。 By virture of some analysis techniques, the convergence problem of Mann and Ishikawa iterative processes for multi-valued Φ-pseudo contractive type mappings is studied in uniformly smooth Banachn spaces. The results presented extend and improve the corresponding results by Chang and Tan, Chidume, Osilike, Deng and Ding, Tan and Xu, Zhou and Jia, et al.
出处 《黑龙江大学自然科学学报》 CAS 2000年第4期11-13,共3页 Journal of Natural Science of Heilongjiang University
基金 黑龙江省自然科学基金资助项目!(A9619)
关键词 Φ-伪压缩型映象φ-半压缩型映象 单调型映象 ISHIKAWA迭代序列 MANN迭代序列 BAnACh空间 不动点 迭代逼近 Φ-pseudo contractive type mapping ψ-hemi contractive type mapping monotone type mapping Ishikawa iterative sequence Mann iterative sequenc0
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参考文献1

  • 1OSILIKE M O.Iterative solution of nonlinear equations of the Φ-strongly accretive type[].Journal of Mathematical Analysis and Applications.1996

同被引文献9

  • 1CHIDUME C E Approximation of fixed poinds of strongly pseudo-contractive mappings[J]. Proc Amer Math Soc,1994,120:545 - 551.
  • 2Chang S and Tan K K. Iteration Processes for Approximating Fixed Points of Operators of Monotone Type[J]. Bull AustralMath Soc, 1998, 57:433 - 445.
  • 3Chidume C E. Iteration Construction of Fixed Points for Multivalued Operators of the Monotone Type[J]. Appl Anal, 1996, 23:209 - 218.
  • 4Osilike M O. Iterative Solutions of Nonlinear φ - Strongly Accretive Operator Equations in Arbitrary Banach Spaces[J]. Nonlinear Anal, 1999, 36:1 - 9.
  • 5Deng L, Ding X P. Iterative Approximation of Lipschitz Strictly Pseudoeontractive Mappings in Uniformly Smooth Banach Spaces[J]. Nonlinear Anal T M A, 1995, 24:981 -987.
  • 6Weng X L. Fixed Point Iteration for Local Strictly Pseudocontractive Mapping[J] .Proc Amer Math Soc, 1991, 113:727 - 731.
  • 7李育强,刘理蔚.关于Lipschitz强增生算子的迭代程序[J].数学学报(中文版),1998,41(4):845-850. 被引量:41
  • 8谷峰.φ-强伪压缩映象不动点的 Ishikawa迭代逼近[J].工程数学学报,2001,18(1):63-67. 被引量:2
  • 9曾六川.关于Banach空间中Lipschitz强伪压缩映象的带误差的Ishikawa型迭代序列[J].数学年刊(A辑),2001,22(5):639-644. 被引量:19

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