A necessary and sufficient condition for the strong convergence of nonexpansive mappings in Banach spaces

被引：0
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作者：
Shuang Wang
Dingbian Qian
机构：
[1] Soochow University,School of Mathematical Sciences
[2] Yancheng Teachers University,School of Mathematical Sciences
来源：
Fixed Point Theory and Applications | / 2014卷
关键词：
strong convergence; fixed points; nonexpansive mapping; -strongly accretive; 2-uniformly smooth Banach spaces;
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摘要：
In this paper, we establish a necessary and sufficient condition for the strong convergence of nonexpansive mappings in a uniformly convex and 2-uniformly smooth Banach space. It is worth pointing out that we remove some quite restrictive conditions in the corresponding results. An appropriate example, such that all conditions of this result are satisfied and that other conditions are not satisfied, is provided.
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