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.

引用

页码：1 / 14

页数：14

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