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Hilbert空间中一类新的广义似平衡问题解的存在性 被引量：1

Existence of Solutions for a New Class of Generalized Quasi-Equilibrium Problems in Hilbert Space
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摘要 研究了Hilbert空间中一类新的广义似平衡问题,用FAN-KKM定理导出了此类辅助问题解的存在性和唯一性,并得到了解的一些性质.在适当的条件下,证明了一种混合迭代序列强收敛于广义似平衡问题的解和一个非扩张映象的公共点. A new class of generalized equilibrium-like problems is studied in Hilbert space. By applying the FAN-KKM theorem, the existence and uniqueness of solutions of the auxiliary problem is found out, and some properties of the solution are obtained. Under suitable conditions, the solution and a common point for a non-expansive mapping of a mixed iterative sequence strongly convergent to generalized quasi-equilibrium problems are proven.
作者 高文娟 李紫嫣 何中全
机构地区 西华师范大学数学与信息学院
出处 《内江师范学院学报》 2014年第2期5-10,共6页 Journal of Neijiang Normal University
基金 教育部科学技术重点项目(211163)
关键词 广义似平衡问题 解的存在性 FAN-KKM定理 迭代算法 generalized equilibrium-like problem existence of solutions FAN-KKM theorem iterative algorithm
分类号 O177.91 [理学—基础数学]
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参考文献15

  • 1张石生.变分不等式及其相关问题[M]{H}重庆:重庆出版社,2008.
  • 2郭大钧.非线性泛涵分析[M]济南:北京科学技术出版社,2004.
  • 3孙经先.非线性泛涵分析其引用[M]{H}北京:科学出版社,2008.
  • 4Blum E,Oettli W. From optimization and variational inequalities to equilibrium problems[J].The Mathematics Student,1994.123-145.
  • 5Combettes P L,Hirstoaga S A. Equilibrium programming in Hilbert spaces[J].Joural of Nonlineat a Convex Analysis,2005,(01):117-136.
  • 6Flam S D,Antipin A S. Equilibrium programming using proximal-problems a gorithms[J].{H}Mathematical Programming,1997,(01):29-41.
  • 7Takahashi S,Takahashi W. Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space[J].{H}Journal of Mathematical Analysis and Applications,2008,(03):1025-1033.
  • 8Takahashi S,Takahashi W. Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces[J].Journal of Mathematical and Analysis Applications,2007,(01):506-515.
  • 9Moudafi A. Viscosity approximation methods for fixed point problems[J].{H}Journal of Mathematical Analysis and Applications,2000,(01):46-55.
  • 10赵良才.广义似平衡问题与非扩张映象的混合迭代算法[J].四川师范大学学报（自然科学版）,2011,34(2):174-180. 被引量：1

二级参考文献11

  • 1Zeng L C, Ansari Q H, Yao J C. Viscosity approximation methods for generalized equilibrium problems and fixed point problems[J]. J Glob Optim,2009,43:487 - 502.
  • 2Zeng L C, Schaible S, Yao J C. Iterative algorithm for generalized set - valued strongly nonlinear mixed variational - like inequal- ities [ J ]. J Optim Theory Appl, 2005,124 : 725 - 738.
  • 3Blum E, Oettli W. From optimization and variational inequalities to equilibrium problems[J]. Math Student ,1994,63 :123 -145.
  • 4Combettes P L, Hirstoaga A. Equilibrium programming in Hilbert spaces [ J ]. J Nonlinear Convex Anal,2005,6:117 -136.
  • 5Flam S D, Antipin A S. Equilibrium programming using proximal -like algorithms [ J ]. Math Program, 1997,78:29 -41.
  • 6Moudafi A. Viscosity approximation methods for fixed points problems[J]. J Math Anal Appl,2000,241:46-55.
  • 7Takahashi S, Takahashi W. Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces[ J]. J Math Anal Appl,2007 ,331:506 -515.
  • 8Marino G, Xu H K. A general iterative method for nonexpansive mappings in Hilbert spaces[J]. J Math Anal Appl ,2006 ,318 :43 -52.
  • 9Wittmann R. Approximation of fixed points of nonexpansive mappings[ J]. Arch Math, 1992,58:486-491.
  • 10Nadler S B. Multivalued contraction mappings [ J ]. Pacific J Math, 1969,30:475 - 488.

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内江师范学院学报
2014年 第2期

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