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Banach空间中渐近非扩张映象的收敛性定理 被引量：11

Some Convergence Theorems for Asymptotically Nonexpansive Mappings in Banach Spaces
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摘要 本文在Banach空间中引入和研究渐近非扩张映象及非扩张映象的某些类型的迭代序列的收敛性,其结果改进和推广了最新的一些结果, In this paper, we first introduce some iterative processes for asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces and then we discuss the strong convergence for the iterative processes. The results presented in this paper extend, supplement and improve the recent results.
作者 张石生 徐裕光 何昌
机构地区 宜宾学院数学系 昆明师专数学系 大理学院数学系
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2003年第4期665-672,共8页 Acta Mathematica Sinica：Chinese Series
关键词 渐近非扩张映象 非扩张映象 不动点 迭代逼近 Asymptotically nonexpansive mapping Nonexpansive mapping Fixed point Iterative approximation
分类号 O177.91 [理学—基础数学]
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参考文献13

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同被引文献107

  • 1曾六川.Banach空间中Reich-Takahashi迭代法的强收敛定理[J].数学学报（中文版）,2005,48(3):417-426. 被引量：6
  • 2王敏,何诣然.Banach空间中集值映射的广义变分不等式问题[J].四川师范大学学报（自然科学版）,2006,29(4):447-449. 被引量：6
  • 3Lim T C,Xu H K.Fixed point theorems for asymptotically nonexpansive mappings.Nonlinear Anal TMA,1994,22(11):1345-1355.
  • 4Zeng L C.On the existence of fixed points and nonlinear ergodic retractions for Lipschitzian semigroups without convexity.Nonlinear Anal TMA,1995,24:1347-1359.
  • 5Reich S.Product formulas,nonlinear semigroups and accretive operators.J Funct Anal,1980,36:147-168.
  • 6Chang S S,Cho Y J,Lee B S,et al.Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces.J Math Anal Appl,1998,224:149-165.
  • 7Chang S S.Some problems and results in the study of nonlinear analysis.Nonlinear Anal TMA,1997,30(7):4197-4208.
  • 8Goebel K,Kirk W A.A fixed point theorem for asymptotically nonexpansive mappings.Proc Amer Math Soc,1972,35(1):171-174.
  • 9Chang S S.Some convergence theorems for asymptotically nonexpansive mappings in Banach spaces.To appear..
  • 10Deimling K.Nonlinear Functional Analysis.Berlin:Springer-Verlag,1985.

引证文献11

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数学学报（中文版）
2003年 第4期

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