数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (5): 2041-2057.doi: 10.1016/S0252-9602(11)60380-9

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SOME RESULTS ON GENERALIZED EQUILIBRIUM PROBLEMS INVOLVING STRICTLY PSEUDOCONTRACTIVE MAPPINGS

Jong Kyu Kim|Sun Young Cho|Xiaolong Qin   

  1. Department of Mathematics Educations, Kyungnam University, Masan 631-701, Korea; Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea; Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China
  • 收稿日期:2009-10-21 出版日期:2011-09-20 发布日期:2011-09-20
  • 通讯作者: Jong Kyu Kim,jongkyuk@kyungnam.ac.kr E-mail:jongkyuk@kyungnam.ac.kr;ooly61@yahoo.co.kr;qxlxajh@163.com
  • 基金资助:

    This work was supported by National Research Foundation of Korea Grant funded by the Korean Government (2009-0076898).

SOME RESULTS ON GENERALIZED EQUILIBRIUM PROBLEMS INVOLVING STRICTLY PSEUDOCONTRACTIVE MAPPINGS

Jong Kyu Kim|Sun Young Cho|Xiaolong Qin   

  1. Department of Mathematics Educations, Kyungnam University, Masan 631-701, Korea; Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea; Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China
  • Received:2009-10-21 Online:2011-09-20 Published:2011-09-20
  • Contact: Jong Kyu Kim,jongkyuk@kyungnam.ac.kr E-mail:jongkyuk@kyungnam.ac.kr;ooly61@yahoo.co.kr;qxlxajh@163.com
  • Supported by:

    This work was supported by National Research Foundation of Korea Grant funded by the Korean Government (2009-0076898).

摘要:

In this paper, we consider an iterative sequence for generalized equilibrium problems and strictly pseudocontractive mappings. We show that the iterative sequence converges strongly to a common element of the solution set of generalized equilibrium problems and of the fixed point set of strictly pseudocontractive mappings.

关键词: equilibrium problem, nonexpansive mapping, inverse-strongly monotone mapping, strictly pseudocontractive mapping

Abstract:

In this paper, we consider an iterative sequence for generalized equilibrium problems and strictly pseudocontractive mappings. We show that the iterative sequence converges strongly to a common element of the solution set of generalized equilibrium problems and of the fixed point set of strictly pseudocontractive mappings.

Key words: equilibrium problem, nonexpansive mapping, inverse-strongly monotone mapping, strictly pseudocontractive mapping

中图分类号: 

  • 47H05