Inductive properties of fixed point sets of mappings on posets and on partially ordered topological spaces

Fixexd point theory and applications

Jinlu Li¹ 

[1] Department of Mathematics, Shawnee State University, Portsmouth, USA

关键词: poset;    partially ordered topological space;    fixed point;    order-preserving mapping;    06A06;    06F30;    47H04;   

DOI  :  10.1186/s13663-015-0461-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove several fixed point theorems on both posets and partially ordered topological spaces for set-valued mappings. We also provide the inductive properties of the sets of fixed points for some order-increasing mappings.

【 授权许可】

CC BY