Strong convergence theorem for totally quasi-ϕ-asymptotically nonexpansive multi-valued mappings under relaxed conditions

被引：0
|
作者：
Shanguang Qian
机构：
[1] Kunming University of Science and Technology,School of Land Resources Engineering
[2] Kunming Metallurgy College,Architectural Engineering Faculty
来源：
Fixed Point Theory and Applications | / 2015卷
关键词：
strong convergence; generalized mixed equilibrium problems; totally quasi-; -asymptotically nonexpansive multi-valued mappings; 47J06; 47J25;
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摘要：
We construct a relaxed hybrid shrinking iteration algorithm for approximating common fixed points of a countable family of totally quasi-ϕ-asymptotically nonexpansive multi-valued mappings. A strong convergence theorem for solving generalized mixed equilibrium problems is established in the framework of Banach spaces under relaxed conditions. Since there is no need to impose a uniformity assumption on the involved mappings and no need to compute complex series in the iteration process, the results improve those of the authors with related interests.
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