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拟非扩张映像族的公共不动点的迭代方法

An Iterative Algorithm on Common Fixed Points for a Family of Quasi-Nonexpansive Mappings

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【作者】 张安郭金题周海云

【Author】 ZHANG An~1,GUO Jin-ti~2,ZHOU Hai-yun~(3,4) (1.Department of Basic Education,Beijing Vocational College of Election Science and Technology,Beijing 100026,China) (2.College of Math.and Stat.,Hebei University of Economy and Business,Shijiazhuang 050061,China) (3.Institute of Mathematics,Ordnance Engineering College,Shijiazhuang 050003,China) (4.Institute of Mathematics Hebei Normal University,Shijiazhuang 050016,China)

【机构】 北京电子科技职业学院基础部河北经贸大学数统学院军械工程学院数学研究所河北师范大学数学研究所

【摘要】 引入了修正的杂交投影迭代算法,用来构造Hilbert空间中拟非扩张映像族的公共不动点.使用新的算法证明了几个强收敛定理.新算法的优点是不要求映像具有次闭性质.

【Abstract】 In this paper,a modified hybrid projection iterative algorithms is introduced for constructing commn fixed points of a family of closed quasi-nonexpansive mappings in Hilbert spaces.With the modified iterative algorithm,several strong convergence theorems are proved. The main advantage of the new algorithms lies in the fact that the strong convergence results are obtained without making use of demi-closedness property for mappings considered here.

【基金】 国家自然科学基金(10771050)
  • 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2010年16期
  • 【分类号】O177.91
  • 【被引频次】3
  • 【下载频次】53
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