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基于杂交投影算法逼近渐近非扩张映射的不动点

Approximation of Fixed Points of Asymptotically Nonexpansive Mappings Based on Hybrid Projection Algorithm
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摘要 杂交投影算法考虑了具有误差的修正Mann迭代过程,在Hilbert空间的框架下,验证了由该杂交投影算法产生序列的收敛性,并在缺乏紧性的条件下建立了不动点序列的强收敛定理.所得结果改进和推广了近期的一些相应已知结果. In this paper,Mann iterative process with errors is considered based on hybrid projection algorithm.Convergence of iterative sequences generated in the purposed hybrid projection algorithm are obtained.A strong convergence theorem of fixed point sequence is established.The results presented in this paper improve and extend some corresponding known results.
作者 孙利娟 缪亮
机构地区 武汉大学计算机学院 开封教育学院计算机系
出处 《河南大学学报（自然科学版）》 CAS 北大核心 2011年第4期416-419,共4页 Journal of Henan University:Natural Science
关键词 杂交投影算法 非扩张映射 渐近非扩张映射 度量投影 hybrid projection algorithm nonexpansive mapping asymptotically nonexpansive mapping metric projection
分类号 O177.91 [理学—基础数学]
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参考文献8

  • 1秦小龙,吴常群,商美娟.Hilbert空间框架下严格渐近伪压缩映像的强收敛定理(英文)[J]数学研究与评论,2009(01).
  • 2Yongfu SU Xiaolong QIN.STRONG CONVERGENCE OF MONOTONE HYBRID METHOD FOR FIXED POINT ITERATION PROCESSES[J].Journal of Systems Science & Complexity,2008,21(3):474-482. 被引量：1
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河南大学学报（自然科学版）
2011年 第4期

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