Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces

被引：1
|
作者：
Inthakon, Warunun [1 ,2 ]
Kaewkhao, Attapol [1 ]
Niyamosot, Nutchari [1 ]
机构：
[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
关键词：
fixed point; common fixed point; generalized nonexpansive mapping; nonspreading mapping; uniformly convex Banach space; THEOREMS; CONVERGENCE;
D O I：
10.1186/1687-1812-2012-110
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the fixed point theorems for nonspreading mappings, defined by Kohsaka and Takahashi, in Banach spaces but using the sense of norm instead of using the function I center dot. Furthermore, we prove a weak convergence theorem for finding a common fixed point of two quasi-nonexpansive mappings having demiclosed property in a uniformly convex Banach space. Consequently, such theorem can be deduced to the case of the nonspreading type mappings and some generalized nonexpansive mappings. MSC: 49J40, 47J20.
引用
收藏
页数：11
相关论文
共 50 条
12345