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一个迭代序列的不动点问题变分不等式问题及平衡问题(英文) 被引量：2

Fixed Point Problems,Variational Inequality Problems and Equilibrium Problems for an Iterative Sequence
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摘要 介绍了在Hilbert空间中求解平衡问题,非扩张映射不动点问题及变分不等式问题公共解的迭代序列.在一些参数控制条件下给出了迭代序列的强收敛定理. This paper introduces the iterative sequences for finding the common solution of an equilibrium problem,a fixed point problem of a nonexpansive mapping and the variational inequality problem in a Hilbert space.Some strong convergence theorems of the iterative sequences are obtained under some parameter controlling conditions.
作者 程支明 钟小毛
机构地区 长江师范学院数学与计算机学院 西南大学数学与统计学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第2期123-128,共6页 Journal of Southwest University(Natural Science Edition)
关键词 非扩张映射 平衡问题 变分不等式 不动点 nonexpansive mapping equilibrium problem variational inequality fixed point
分类号 O177.91 [理学—基础数学]
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参考文献9

二级参考文献29

  • 1曾六川.广义集值强非线性混合似变分不等式解的迭代逼近[J].数学学报（中文版）,2005,48(5):879-888. 被引量：3
  • 2王广兰,邓磊.广义混合隐拟变分不等式解的算法[J].西南师范大学学报（自然科学版）,2006,31(4):11-14. 被引量：9
  • 3Chang S S, H W Joseph Lee, Chan Chi Kin. On Reich's Strong Convergence Theorem for Asymptotically Nonexpansive Mappings in Banach Spaces [J]. Nonlinear Anal TMA, 2007, 66: 2364- 2374.
  • 4Liu L S. Ishikawa and Mann Iterative Processes with Errors for Nonlinear Strongly Accretive Mappings in Banach Space [J]. J Math AnalAppl, 1995, 194: 114--125.
  • 5Reich S. On the Asymptotic Behavior of Nonlinear Semigroups and the Range of Accretive Operators [J]. J Marh Anal Appl, 1981, 79: 113- 126.
  • 6[1]Passty G B. Construction of fixed points for asymptotically nonexpansive mapping [J]. Proc Amer Math Soc,1982,84: 212-216.
  • 7[2]Schu J,Iterative construction of fixed points of asymptotically nonexpansive mappings [J]. J Math Anal Appl,1991,158: 407-413.
  • 8[3]Goebel K,Kirk W A,A fixed point theorem for asymptotically nonexpansive mappings [J]. Proc Amer Math Soc,1972,35: 171-174.
  • 9[4]Ghosh M K,Debnath L. Convergence of Ishikawa iterates of quasi-nonexpansive mappings [J]. J Math Anal appl,1997,207: 96-103.
  • 10[5]Petryshyn W V,Williamson T E,Strong and weak convergence of the sequence of successive approx-imation for quasi-nonexpansive mappings [J]. J Math Anal Appl,1973,43: 459-497.

共引文献19

同被引文献16

  • 1KOHSAKA F, TAKAHASHI W. Fixed Point Theorems for a Class of Nonlinear Mappings Related to Maximal Mono tone Operators in Banach Spaces [J]. Arch Math, 2008, 91(2): 166-177.
  • 2BAUSCHKE H H, BORWEIN J M, COMBETTES P L. Essential Smoothness, Essential Strict Convexity, and Leg- endre Functions in Banach Spaces[J]. Commun Contemp Math, 2001, 3(4) : 615-647.
  • 3CENSOR Y, LENT A. An Iterative Row-Action Method for Interval Convex Programming [J].Optim Theory Appl, 1981, 34(3): 321-353.
  • 4REICH S, SABACH S. Two Strong Convergence Theorems for Bregman Strongly Nonexpansive Operators in Reflexive Banach Spaces [J]. J Nonlinear Anal, 2010, 73: 122-135.
  • 5Moudafi A.Viscosity approximation methods for fixed point problems[J].Journal of Mathematical Analysis and Applications,2000,241(1):46-55.
  • 6Xu H K.Viscosity approximation methods for nonex-pansive mappings[J].Journal of Mathematical Analy-sis and Applications,2004,298(1):279-291.
  • 7Iiduka H,Takahashi W.Strong convergence theorems for nonexpansive mappings and inverse-strongly mono-tone mappings[J].Nonlinear Analysis:Theory,Methods&Applications,2005,61(1):341-350.
  • 8Chang S S,Joseph Leeb H W,Chan C K.A new method for solving equilibrium problem fixed pointproblem and variational inequality problem with application to optimi-zation[J].Nonlinear Analysis:Theory,Methods&Applications,2009,70(9):3307-3319.
  • 9陆爱霞 王庆灵.关于变分不等式与不动点问题:英文.数学季刊,2011,26(2):208-212.
  • 10Suzuki T,Strong convergence of Krasnoselskii and Manns type sequences for oneparameter nonexpansive semigrous without Bochner integrals[J].Journal of Mathematical Analysis and Applications,2006,305(1):227-229.

引证文献2

西南大学学报（自然科学版）
2010年 第2期

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