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：
Suantai, Suthep [1 ]
Phuengrattana, Withun [2 ,3 ]
机构：
[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand
[2] Nakhon Pathom Rajabhat Univ, Fac Sci & Technol, Dept Math, Nakhon Pathom 73000, Thailand
[3] Nakhon Pathom Rajabhat Univ, Inst Res & Dev, Res Ctr Pure & Appl Math, Nakhon Pathom 73000, Thailand
来源：
FIXED POINT THEORY AND APPLICATIONS | 2015年
关键词：
fixed point; generalized asymptotically nonexpansive mapping; nonexpansive mapping; Banach space; STRONG-CONVERGENCE; FIXED-POINTS; WEAK; THEOREMS; MANN;
D O I：
10.1186/s13663-015-0304-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页码：1 / 14
页数：14
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