Fixed point sets of set-valued mappings

被引：8

作者：

Chanthorn, Parunyou ^{[1
]}

Chaoha, Phichet ^{[1
,2
]}

机构：

[1] Chulalongkorn Univ, Dept Math & Comp Sci, Fac Sci, Bangkok 10330, Thailand

[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

fixed point set; set-valued mapping; NONEXPANSIVE-MAPPINGS; CONVERGENCE; APPROXIMATION; MAPS;

D O I：

10.1186/s13663-015-0305-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present new results regarding fixed point sets of various set-valued mappings using the concept of fixed point iteration schemes and the newly defined concept of fixed point resolutions. In particular, we prove that the fixed point sets of certain nonexpansive set-valued mappings are contractible.

引用

页码：1 / 16

页数：16

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