| A New Iterative Method for Finding Common Solutions of Generalized Equilibrium Problem and Fixed Point Problem in Hilbert Spaces |
| Received:November 21, 2008 Revised:June 30, 2009 |
| Key Words:
nonexpansive mapping generalized equilibrium problem variational inequality continuous monotone mapping.
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| Fund Project:Supported by the Foundation for Young Scholars of the Education Department of Sichuan Province (Grant No.09ZB102). |
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| Abstract: |
| In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions for a generalized equilibrium problems and the set of fixed points for nonexpansive mappings in Hilbert space. Under suitable conditions, some strong convergence theorems are proved. Our results extend and improve some recent results. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.06.015 |
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