An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space
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摘要
In this paper, we introduce a new iterative method for finding a common element of the set of fixed points of a finite family of relatively nonexpansive mappings and the set of solutions of an equilibrium problem in uniformly convex and uniformly smooth Banach spaces. Then we prove a strong convergence theorem by using the generalized projection.
论文关键词:Relatively nonexpansive mapping,Iterative method,Generalized projection,Strong convergence,Equilibrium problem
论文评审过程:Available online 24 September 2010.
论文官网地址:https://doi.org/10.1016/j.amc.2010.09.041