| Strong Convergence by the Shrinking Projection Method for a Generalized Equilibrium Problems and Hemi-Relatively Nonexpansive Mappings |
| Received:December 30, 2008 Revised:May 18, 2009 |
| Key Words:
hemi-relatively nonexpansive mapping generalized equilibrium problem $\alpha$-inverse-strongly monotone mapping.
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| Fund Project:Supported by Sichuan Educational Committee Science Foundation for Youths (Grant No.08ZB002). |
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| Abstract: |
| Motivated by the recent result obtained by Takahashi and Zembayashi in 2008, we prove a strong convergence theorem for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a hemi-relatively nonexpansive mapping in a Banach space by using the shrinking projection method. The main results obtained in this paper extend some recent results. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.06.020 |
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