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.

引用

页码：2274 / 2279

页数：6

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