Strong convergence of shrinking projection methods for quasi-ϕ-nonexpansive mappings and equilibrium problems
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摘要
The purpose of this paper is to consider the convergence of a shrinking projection method for a finite family of quasi-ϕ-nonexpansive mappings and an equilibrium problem. Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec–Klee property.
论文关键词:47H09,47J25,Quasi-ϕ-nonexpansive mapping,Relatively nonexpansive mapping,Generalized projection,Equilibrium problem
论文评审过程:Received 17 August 2009, Revised 14 January 2010, Available online 20 January 2010.
论文官网地址:https://doi.org/10.1016/j.cam.2010.01.015