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变分包含与平衡问题公解的迭代算法

Iterative Algorithm of Common Solutions for Equilibrium Problems and Variational Inclusion Problems
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摘要 在Hilbert空间的框架下,为寻求具多值极大单调映象和逆强单调映象的变分包含的解集、平衡问题的解集与无限簇非扩张映象的不动点集的公共元,引入和研究了一种新的迭代算法.在一定的条件下,用黏性逼近法证明了序列逼近于这一公共元的强收敛定理. In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of the variational inclusion problem with multi-valued maximal monotone mapping and inversestrongly monotone mappings, the set of solutions of equilibrium problems and the set of common fixed point for a family of infinite nonexpansive maps in Hilbert space. It is shown that under suitable conditions by the viscosity approximation algorithms, tome strong convergence theorems for approximating to this common elements are proved.
作者 徐天华
机构地区 四川民族学院数学系
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2009年第10期138-142,共5页 Journal of Southwest University(Natural Science Edition)
关键词 黏性逼近 变分包含 平衡问题 非扩张映象 不动点 viscosity approximation variational inclusion equilibrium problem nonexpansive mapping Fixed point
分类号 O177.91 [理学—基础数学]
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参考文献14

  • 1Chang S S. Set Valued Variational Inclusions in Banach Spaces [J]. J Math Anal Appl, 2000, 248:438 -454.
  • 2Blum E, Oettli W. From Optimization and Variational Inequalities to Equilibrium Problems [J]. Math Student, 1994, 63: 123-145.
  • 3Combettes P L, Hirstoaga S A. Equilibrium Programming in Hilbert Spaces [J]. J Noli Convex Anal, 2005, 6 :117 --136.
  • 4Browder F. E, Petryshyn W. V. Construction of fixed points of nonlinear mappings in Hilbert spaces [J]. J Math Anal Appl, 1967, 20: 197-228.
  • 5Zhang S S, Lee J H, Chan C K. Algorithms of Common Solutions for Quasi-Variational Inclusion and Fixed Point Problems [J]. Appl Math Mech, 2008, 29:1 -11.
  • 6Takahashi S, Takahashi W. Viscosith Approximation Methods for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces [J]. J Math Anal Appl, 2007, 331: 506- 515.
  • 7Shimoji K, Takahashi W. Strong Convergence to Common Fixed Points of Infinite Nonexpansive Mappings and Applications [J]. Taiwan Residents J Math, 2001, 5: 387- 404.
  • 8Brezis H. Ope'Rateur Maximaux Monotones et Semiproupes de Contractions Dans Les Espaces de Hilbert [M]. NorthHolland: Amsterdam, 1973. 78- 79.
  • 9Paseali Dan. Nonlinear Mappings of Monotone Type [M]. The Netherlands: Sijthoff and Noordhoff International Publishers, 1978:121-123.
  • 10Suzuki 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- 239.

二级参考文献14

  • 1王广兰,邓磊.一般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）,2005,30(6):956-959. 被引量：1
  • 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.
  • 6Ding X P.Algorithms of Solutions for Completely Generalized Mixed Implicit Quasi-Variational Inclusions[J].Appl Math Comput,2004,148:47-66.
  • 7Ding X P.Algorithms of Solutions for Mixed Implicit Quasi-Variational Inequalities with Fuzzy Mapping[J].Comput Math Appl,1999,38:231-241.
  • 8Verma R U.On General Variational Inequalities Involving Relaxed Lipschitz and Relaxed Monotone Operators[J].J Math Appl,1997,213:387-392.
  • 9Noor M A.General Variational Inequalities[J].J Optim Theory Appl,1993,79:197 -206.
  • 10Noor M A.Modified Resolvent Algorithm for General Mixed Quasi-Variational Inequalities[J].Mathl Comput Modeling,2002,36:737-745.

共引文献11

西南大学学报（自然科学版）
2009年 第10期

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