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Hilbert空间中拟非扩张映像族的逼近定理 被引量：5

Approximating Theorems for a Family of Quasi-Nonexpansive Mappings in a Hilbert Space
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摘要 在Hilbert空间中,设计了一种新算法用以逼近拟非扩张映像族的公共不动点,并利用所提出的算法证明了拟非扩张映像族的公共不动点的逼近定理,所得结果改进和推广了一些最近文献的相关结果. In this paper, we propose a new algorithm of common fixed points for a family of quasi-non- expansive mappings in a Hilbert space. By using the proposed algorithm, we study the approximation of common fixed points for a family of quasi-nonexpansive mappings. The results of this paper improve and extend the recent corresponding results.
作者 高兴慧 周海云
机构地区 延安大学数学与计算机科学学院 石家庄军械工程学院数学系
出处 《武汉大学学报（理学版）》 CAS CSCD 北大核心 2011年第2期123-126,共4页 Journal of Wuhan University:Natural Science Edition
基金 国家自然科学基金资助项目(10771050)
关键词 拟非扩张映像族 不动点 逼近性 HILBERT空间 a family of quasi-nonexpansive mappings fixed point approximation Hilbert spaces
分类号 O177.91 [理学—基础数学]
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参考文献16

  • 1Kohsaka F,Takahashi W. Fixed point theorems for a class of nonlinear mappings related to maximal mono- tone operators in Banach spaees[J]. Arch Math ,2008, 91 : 166-177.
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二级参考文献29

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共引文献24

同被引文献13

引证文献5

二级引证文献6

武汉大学学报（理学版）
2011年 第2期

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