A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces

被引：0
作者：
Suthep Suantai
Withun Phuengrattana
机构：
[1] Chiang Mai University,Department of Mathematics, Faculty of Science
[2] Nakhon Pathom Rajabhat University,Department of Mathematics, Faculty of Science and Technology
[3] Nakhon Pathom Rajabhat University,Research Center for Pure and Applied Mathematics, Research and Development Institute
来源：
Fixed Point Theory and Applications | / 2015卷
关键词：
fixed point; generalized asymptotically nonexpansive mapping; nonexpansive mapping; Banach space; 47H09; 47H10; 54H25; 54E40;
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摘要：
In this paper, we construct an iterative process involving a hybrid pair of a finite family of generalized asymptotically nonexpansive single-valued mappings and a finite family of generalized nonexpansive multi-valued mappings and prove weak and strong convergence theorems of the proposed iterative process in Banach spaces. Our main results extend and generalize many results in the literature.
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