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广义混合平衡问题和一族拟-φ-渐近非扩张映象不动点问题的强收敛定理 被引量：1

Strong Convergence Theorem for a Generalized Mixed Equilibrium Problem and a Family of Quasi-φ-asymptotically Nonexpansive Mappings
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摘要 本文在Banach空间中讨论了一种混合投影迭代算法,借以寻求广义混合平衡问题和一族拟-φ-渐近非扩张映象的不动点集的公共元,证明了此迭代序列的强收敛定理.文中所得到的结果,推广并改进了最近一些人所发布的新结果. A hybrid iterative method for finding a common element of the set of solutions of a generalized mixed equilibrium problem and the set of fixed points of a family of quasi-φ-asymptotically nonexpansive mappings in a Banach space is induced.Under suitable conditions the strong convergence theorems are proved.The results presented in the paper extend and improve the corresponding results announced by many others.
作者 唐金芳
机构地区 宜宾学院数学系
出处 《应用数学学报》 CSCD 北大核心 2010年第5期878-888,共11页 Acta Mathematicae Applicatae Sinica
关键词 广义混合平衡问题 拟-φ-渐近非扩张映象 混合投影迭代算法 不动点问题 generalized mixed equilibrium problem quasi-φ-asymptotically nonexpansive mapping hybrid projection iterative algorithm fixed point problem
分类号 O177.5 [理学—基础数学]
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参考文献1

二级参考文献10

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共引文献6

同被引文献8

  • 1Simin Homaeipour,Abdolrahman Razani.Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces[J].Fixed Point Theory and Applications.2011(1)
  • 2Alber YA I.Metric and generalized projection operators in Banach spaces: properties and applications[].Theory and Applications of Nonlinear Operators of Accretive and Monotone Type.1996
  • 3Blum E,Oettli W.From optimizaiton and variational inequalities to equilibrium problems[].The Mathematics Student.1994
  • 4Zhang Shi-sheng,Lee J H W,Chan C K,et al.Approximation theorems for total quasi-φ-asymptotically nonexpansivemappings with applications[].Journal of Applied Mathematics.2011
  • 5Takahashi W,Zembayashi K.Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive map-ping in Banach spaces[].Nonlinear Analysis.2008
  • 6Zhang Shi-sheng,Kim J K,Wang Xiong-rui.Modified block iterative algorithm for solving convex feasibility problems in Ba-nach spaces[].Journal of Inequalities and Applications.2011
  • 7张石生.Banach空间中广义混合平衡问题[J].应用数学和力学,2009,30(9):1033-1041. 被引量：8
  • 8张石生.Generalized mixed equilibrium problem in Banach spaces[J].Applied Mathematics and Mechanics(English Edition),2009,30(9):1105-1112. 被引量：7

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应用数学学报
2010年 第5期

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