Lipschitz拟伪压缩映像族的收缩投影算法 |
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引用本文: | 高兴慧,马乐荣.Lipschitz拟伪压缩映像族的收缩投影算法[J].数学的实践与认识,2014(20). |
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作者姓名: | 高兴慧 马乐荣 |
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作者单位: | 延安大学数学与计算机科学学院; |
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基金项目: | 陕西省教育厅科研计划项目(2013JK0575);延安大学高水平大学数学学科建设项目(2012SXTS07) |
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摘 要: | 在Hilbert空间中设计了一种关于Lipschitz拟伪压缩映像族的收缩投影算法,并利用所提出的算法证明了Lipschitz拟伪压缩映像族的公共不动点的强收敛定理,所得结果改进和推广了一些最新文献的相关结果.
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关 键 词: | 收缩投影算法 Lipschitz拟伪压缩映像族 不动点 |
Shrinking Projection Methods for Lipschitz Quasi-Pseudo-Contractions |
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Abstract: | The purpose of this paper is to study the shrinking projection methods for Lipschitz quasi-pseudo-contractions and prove a strong convergence theorem for common fixed points of a family of Lipschitz quasi-pseudo-contractions in the framework of Hilbert spaces.The results presented in this paper improve and extend the corresponding ones announced by many others. |
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Keywords: | Shrinking projection method Lipschitz quasi-pseudo-contractions Fixed point |
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