East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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STRONG CONVERGENCE THEOREM OF COMMON ELEMENTS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS

  • Zhang, Lijuan (COLLEGE OF MATHEMATICS AND COMPUTER HEBEI UNIVERSITY) ;
  • Hou, Zhibin (COLLEGE OF MATHEMATICS AND COMPUTER HEBEI UNIVERSITY)
  • Received : 2009.10.21
  • Accepted : 2010.11.10
  • Published : 2010.11.30
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Abstract

In this paper, we introduce an iterative method for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of an asymptotically strictly pseudocontractive mapping in a Hilbert space. We show that the iterative sequence converges strongly to a common element of the two sets.

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