Fixed point sets of set-valued mappings

Fixexd point theory and applications

Parunyou Chanthorn¹  Phichet Chaoha¹ 

[1] Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok, Thailand

关键词: fixed point set;    set-valued mapping;    47H04;    47H09;   

DOI  :  10.1186/s13663-015-0305-6

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY