Viscosity approximation methods for nonexpansive semigroups in CAT(0) spaces

被引：0
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作者：
Rabian Wangkeeree
Pakkapon Preechasilp
机构：
[1] Naresuan University,Department of Mathematics, Faculty of Science
[2] Centre of Excellence in Mathematics (CHE),undefined
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
viscosity approximation method; nonexpansive semigroup; variational inequality; space; common fixed point;
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摘要：
In this paper, we study the strong convergence of Moudafi’s viscosity approximation methods for approximating a common fixed point of a one-parameter continuous semigroup of nonexpansive mappings in CAT(0) spaces. We prove that the proposed iterative scheme converges strongly to a common fixed point of a one-parameter continuous semigroup of nonexpansive mappings which is also a unique solution of the variational inequality. The results presented in this paper extend and enrich the existing literature.
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