平衡问题与不动点问题公共解的迭代法

  • 陈俊敏 ,
  • 范铁钢 ,
  • 佟慧
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  • 河北大学,数学与计算机学院,河北,保定,071002

网络出版日期: 2010-01-25

基金资助

河北省教育厅科学研究计划支持项目,河北省自然科学基金,国家自然科学基金

An Iterative Method for Finding Common Solution of Equilibrium and Fixed Point Problems

  • CHEN Jun-min ,
  • FAN Tie-gang ,
  • TONG Hui
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Online published: 2010-01-25

摘要

在Hilbert空间中,利用杂交算法构造迭代序列,对平衡问题与渐近非扩张映射不动点的公共解进行研究,并证明所提出的迭代序列强收敛于平衡问题与渐近非扩张映射不动点的公共解,推广和扩展了现有的一些结果.

本文引用格式

陈俊敏 , 范铁钢 , 佟慧 . 平衡问题与不动点问题公共解的迭代法[J]. 河北大学学报(自然科学版), 2010 , 30(1) : 16 -18 . DOI: 10.3969/j.issn.1000-1565.2010.01.004

Abstract

An iterative scheme is studied by using the hybrid methods for finding common elements of the solutions of the equilibrium problems and the fixed points of an asymptotically nonexpansive mapping in Hilbert spaces. The proposed scheme converges strongly to a common solution of the solutions of the equilibrium problems and the fixed points of an asymptotically mapping. The results presented in this paper extend and generalize the recent results.

参考文献

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[2] Satoru Takahashi, Wataru Takahashi. Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces [J]. Journal of Mathematical Analysis and Applications 2007, 1(1).
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