Strong Convergence Theorems by Shrinking Projection Methods for Class <inline-formula> <graphic file="1687-1812-2011-681214-i1.gif"/></inline-formula> Mappings

<p/> <p>We prove a strong convergence theorem by a shrinking projection method for the class of <inline-formula> <graphic file="1687-1812-2011-681214-i2.gif"/></inline-formula> mappings. Using this theorem, we get a new result. We also describe a shrinking pro...

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Autores principales: Su Fang, Dong Qiao-Li, He Songnian
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2011
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Acceso en línea:https://doaj.org/article/3558cfedcd1f4b8ba5ffe222deee342e
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Sumario:<p/> <p>We prove a strong convergence theorem by a shrinking projection method for the class of <inline-formula> <graphic file="1687-1812-2011-681214-i2.gif"/></inline-formula> mappings. Using this theorem, we get a new result. We also describe a shrinking projection method for a nonexpansive mapping on Hilbert spaces, which is the same as that of Takahashi et al. (2008).</p>