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有限个一致李普希兹渐近拟非扩张映像强收敛定理

Strong Convergence Theorem for a Finite Family of Uniformly L-Lipschitz Asymptptically Quasi-nonexpansive Mapping
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摘要 在任意Banach空间中,给出了有限个一致李普希兹渐近拟非扩展映像强收敛于其公共不动点的问题,此结果推广了以前的结论. In arbitrary Banach space,the iterative approximation problem of common fixed point for a finite family of uniformly L-Lipschitzian asymptotically quasi-nonexpansive mappings is discussed. Extension and complement of the previous work.
出处 《河北师范大学学报(自然科学版)》 CAS 北大核心 2007年第5期578-581,共4页 Journal of Hebei Normal University:Natural Science
基金 国家自然科学基金(10671207) 河北省教育科学研究所科研课题(0340)
关键词 渐近拟非扩展映像 修改的Mann迭代格式 公共不动点 asymptptically quasi-nonexpamsive mapping modified Mann iterative process common fixed point
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参考文献7

  • 1CHANG Shi-sheng.Some Results for Asylmptotically Pseudo-contractive Mappings an Asylmptotically Nonexpansive Mappings[J].Proc Amer Math Sco,2001,129:845-853. 被引量:1
  • 2MOORE C,NNOLI B V C.Iterative Sequence for Asymptotically Demicontractive Maps in Banach Spaces[J].J Math Anal Appl,2005,302:557-562. 被引量:1
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二级参考文献8

  • 1CHANG Shi-sheng.Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings[J].Proc Amer Math Sco,2001,129:845-853. 被引量:2
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