Convergence theorem of common fixed points for a family of nonspreading mappings in Hilbert space

被引：8

作者：

Kangtunyakarn, Atid ^{[1
]}

机构：

[1] King Mongkuts Inst Technol Ladkrabang, Fac Sci, Dept Math, Bangkok 10520, Thailand

来源：

OPTIMIZATION LETTERS | 2012年 / 6卷 / 05期

关键词：

Nonspreading mapping; Quasi-nonexpansive mapping; K-mapping; EQUILIBRIUM PROBLEMS;

D O I：

10.1007/s11590-011-0326-y

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We introduce the concept of K-mapping of a finite family of nonspreading mappings and we show that the fixed point set of the K-mapping is the set of common fixed points of . Moreover, we prove strong convergence theorem of the Ishikawa iterative process to a common fixed point of a finite family of nonspreading mappings in Hilbert space under certain control conditions.

引用

页码：957 / 961

页数：5

共 6 条

[1] A new mapping for finding common solutions of equilibrium problems and fixed point problems of finite family of nonexpansive mappings [J].