FIXED POINT THEOREMS AND THEIR APPLICATIONS TO ORDERED VARIATIONAL INEQUALITIES IN PARTIALLY ORDERED VECTOR SPACES

被引：0
|
作者：
Xie, Linsen [1 ]
Li, Jinlu [2 ]
机构：
[1] Lishui Univ, Dept Math, Lishui 323000, Zhejiang, Peoples R China
[2] Shawnee State Univ, Dept Math, Portsmouth, OH 45662 USA
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Partially ordered vector spaces; Riesz spaces; order-continuity; ordered Lipschitz condition; order-preserving mapping; fixed point; ordered variational inequalities;
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 condition of mappings on partially ordered vector spaces and Riesz spaces, respectively. We also provide some properties of order-continuous mapping. Then, we apply these properties to prove some existence theorems for fixed points on partially ordered vector spaces. We apply these theorems to solve some ordered variational inequalities on Riesz spaces.
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页码：1953 / 1966
页数：14
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