A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces

被引：0
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作者：
Urailuk Singthong
Suthep Suantai
机构：
[1] Chiang Mai University,Department of Mathematics, Faculty of Science
[2] Mahidol University,PERDO National Centre of Excellence in Mathematics, Faculty of Science
来源：
Fixed Point Theory and Applications | / 2010卷
关键词：
Hilbert Space; Variational Inequality; Convex Subset; Nonexpansive Mapping; Iterative Scheme;
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摘要：
We introduce a new general iterative method by using the [inline-graphic not available: see fulltext]-mapping for finding a common fixed point of a finite family of nonexpansive mappings in the framework of Hilbert spaces. A strong convergence theorem of the purposed iterative method is established under some certain control conditions. Our results improve and extend the results announced by many others.
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