ITERATIVE FIXED POINT THEOREMS AND THEIR APPLICATIONS TO ORDERED VARIATIONAL INEQUALITIES ON VECTOR LATTICES

被引：0
|
作者：
Li, Jinlu [1 ]
机构：
[1] Shawnee State Univ, Dept Math, Portsmouth, OH 45662 USA
来源：
FIXED POINT THEORY | 2016年 / 17卷 / 02期
关键词：
Vector lattice; order-continuity; ordered Lipschitz condition; order preserving map; fixed point; generalized Archimedean vector lattice; ordered variational inequality;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the concept of order-continuity and ordered Lipschitz conditions of maps on vector lattices, and we provide some properties of order-continuous maps. Then, by applying these properties, we prove some theorems for the existence of fixed points for maps. As applications of these results, we solve some ordered variational inequalities on vector lattices.
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页码：401 / 411
页数：11
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