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广义混合均衡与不动点问题公共解的迭代算法 被引量：3

An Iterative Algorithm for the Common Solution to the Problems of Generalized Mixed Equilibrium and Fixed Point
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摘要 在Hilbert空间中,引入一种新的关于广义混合均衡问题的迭代方法,通过该迭代方法求得广义混合均衡问题的解集与非扩张映像的不动点集的公共解.并且在一定条件下,得到强收敛定理.所得结果改进和推广了这一领域内某些最新结果. An iterative algorithm for solving the generalized mixed equilibrium problems was proposed in the Hilbert space ,and then was used to obtain the common solution to the generalized mixed equilibrium and fixed point problems .In addition ,the strong convergence theorem was derived under certain conditions .Those obtained results have improved and spred the latest work in this field .
作者 胡洪萍 王琳琳
机构地区 西安文理学院数学与计算机工程学院
出处 《西安工业大学学报》 CAS 2014年第7期526-532,共7页 Journal of Xi’an Technological University
基金 西安市科技计划项目(CXY1134WL05)
关键词 广义混合均衡问题 不动点 混合迭代 非扩张映射 HILBERT 空间 generalized mixed equilibrium problems fixed points mixed iteration nonexpansive mappings Hilbert space
分类号 O177.91 [理学—基础数学]
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参考文献8

  • 1OPIAL Z. Weak Convergence of the Sequence of Suc- cessive Approximations for Nonexpansive Mappings[J].Bull Amer Math Soc,1967,73(4):591.
  • 2MARINO G,XU H K. Weak and Strong Convergence Theorems for Strict Pseudo-Contractions in Hilbert Spaces[J]. J Math Anal Appl, 2007,324 :336.
  • 3YAO Y, LIU Y C, YAO J C. Convergence Theorem for Equilibrium Problem and Fixed Point Problems of Infinite Family of Nonex Pansive Mappings[J]. Fixed Point Theory and Appl,2007(2) :135.
  • 4SHIMOJI K,TAKAHASHI W. Strong Convergence to Common Fixed Points of Infinite Nonexpansive Mappings and Applications[J].Taiwan Residents J Math, 2001,5:387.
  • 5CHANG S S,JOSEPH L H W,CHAN C K. A New Method for Solving Equilibrium Problem Fixed Point Problem and Variational Inequality Problem with Ap- plication to Optimization [J]. Nonlinear Anal.. TMA, 2009,70(9) : 3307.
  • 6SUZUKI T. Strong Convergence of Krasnoselskii and Mann' S Type Sequences for Oneparameter Nonexpansive Semigroups Without Bochner Integrals[J]. J Math Anal Appl, 2005,305 : 227.
  • 7XU H K. Iterative Algorithms for Nonlinear Opera- tors [J]. London Math Soc,2002,66:240.
  • 8胡洪萍,王琳琳,杨小康.渐近伪压缩映象的粘性迭代逼近[J].西安工业大学学报,2013,33(7):526-529. 被引量：1

二级参考文献7

同被引文献5

  • 1COMBETI'ES P L, HIRSTOAGO S A. Equilibrium programming in hilbert spaces [ J ]. Nonlinear and Convex Analysis, 2005,6(5) :117-136.
  • 2MARINO G,XU H K. Weak and strong convergence theorems for strict seudo-contractions in Hilbert spaces [ J ]. Math. A- nal. Appl.,2007 ,329 :336 - 349.
  • 3SUZUKI T. Strong convergence of krasnoselskii and Mann's type sequences for oneparameter nonexpansive semigroups with- out bochner integrals [ J ]. J. Math. Anal. Appl, 2005,305:227 - 239.
  • 4XU H K. Iterative algorithms for nonlinear operators [ J ]. London Math Soc ,2002,66:240 -256.
  • 5胡洪萍,周光亚.混合均衡问题与严格伪压缩映像不动点的黏性迭代逼近法[J].西安工业大学学报,2015,35(11):865-870. 被引量：1

引证文献3

二级引证文献1

西安工业大学学报
2014年 第7期

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