Strong convergence theorems for a countable family of quasi-ϕ-asymptotically nonexpansive nonself mappings
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摘要
The purpose of this article is to introduce a class of quasi-ϕ-asymptotically nonexpansive nonself mappings and to study the strong convergence under a limit condition only in the framework of Banach spaces. As an application, we utilize our results to study the approximation problem of solution to a system of equilibrium problems. The results presented in the paper improve and extend the corresponding results announced by some authors recently.
论文关键词:Quasi-ϕ asymptotically nonexpansive nonself mappings,Quasi-ϕ-asymptotically nonexpansive mapping,Quasi-ϕ-nonexpansive nonself mapping,Quasi-ϕ-nonexpansive mapping,Asymptotically nonexpansive mapping,Generalized projection
论文评审过程:Available online 27 February 2012.
论文官网地址:https://doi.org/10.1016/j.amc.2012.02.002