| Viscosity Approximation Methods for Equilibrium Problems in Hilbert Spaces Involving the New Iterative Process with Error |
| Received:April 02, 2007 Revised:November 22, 2007 |
| Key Words:
viscosity approximation method equilibrium problem nonexpansive mapping.
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| Fund Project:the Youth Founcation of Sichuan Educational Committee (No.08ZB002). |
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| Abstract: |
| In this paper, we introduce an iterative scheme with error by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space. A strong convergence theorem is given, which generalizes all the results obtained by S.Takahashi and W.Takahashi in 2007. In addition, some of the methods applied in this paper improve those of S.Takahashi and W.Takahashi. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.03.019 |
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