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有限簇伪压缩映象和单调映象广义迭代法的强收敛性 被引量：1

Strong Convergence of an General Iterative Method for a Finite Family of Pseudo-Contractive and Monotone Mappings
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摘要 在Hilbert空间中,建立了一个关于有限簇伪压缩映象和单调映象的广义迭代方法,并在更弱的条件下证明了该方法所产生的序列强收敛到连续伪压缩映象不动点集和变分不等式解集的某个公共元. In Hilbert space, a general approximation method is proposed for finding a common element of the set of fixed points of a finite family of continuous pseudo-contractive mappings and solutions of variational inequalities for monotone mappings. Strong convergence of iterative sequences generated by the method are obtained under some more ~enera｜ condlt^nn~
作者 闻道君
机构地区 重庆工商大学数学与统计学院
出处 《数学物理学报（A辑）》 CSCD 北大核心 2014年第5期1123-1132,共10页 Acta Mathematica Scientia
基金 国家自然科学基金(11001287 11271388) 重庆市自然科学基金(CSTC2012jjA00039) 重庆市教委科技研究项目(KJ130712)资助
关键词 伪压缩映象 单调映象 不动点 强正算子 变分不等式 Pseudo-contractive mapping Monotone mapping Fixed point Strongly positive operator Variational inequality.
分类号 O177.91 [理学—基础数学]
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参考文献18

  • 1闻道君,邓磊.有限簇非扩张映象的不动点定理及逼近算法[J].数学物理学报（A辑）,2012,32(3):540-546. 被引量：8
  • 2谷峰.有限个平衡问题与非扩张映象不动点问题的复合迭代方法[J].系统科学与数学,2011,31(7):859-871. 被引量：4
  • 3Wen Daojun. Projection methods for generalized system of nonconvex variational inequalities with different nonlinear operators. Nonlinear Anal, 2010, 73:2292 2297.
  • 4Wen Daojun. Strong convergence theorems for equilibrium problems and k-strict pseudocontractions in Hilbert spaces. Abstract and Applied Analysis, doi: 10.1155/2011/276874.
  • 5Kim J K, Anh P N, Nam J M. Strong convergence of an extragradient method for equilibrium problems and fixed point problems. J Korean Math Soc, 2012, 49:187-200.
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二级参考文献28

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数学物理学报（A辑）
2014年 第5期

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