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.  
Fund Project:Supported by the Foundation for Young Scholars of the Education Department of Sichuan Province (Grant No.09ZB102).
Author NameAffiliation
Min LIU Department of Mathematics, Yibin University, Sichuan 644007, P. R. China 
Shi Sheng ZHANG Department of Mathematics, Yibin University, Sichuan 644007, P. R. China 
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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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