Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces

被引：4
|
作者：
Bunyawat, Aunyarat
Suantai, Suthep [1 ]
机构：
[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2012年 / 89卷 / 16期
关键词：
countable family; multivalued; quasi-nonexpansive mappings; common fixed point; one-step iterative; STRONG-CONVERGENCE; ISHIKAWA ITERATION; WEAK; MAPS; MANN;
D O I：
10.1080/00207160.2012.705280
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the proposed iterative scheme under some control conditions.
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页码：2274 / 2279
页数：6
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