FIXED POINT THEOREMS ON NORMAL AND REGULAR PARTIALLY ORDERED BANACH SPACES AND THEIR APPLICATIONS

被引：0
|
作者：
Li, Jinlu [1 ]
Zhao, Xiaopeng [2 ]
机构：
[1] Shawnee State Univ, Dept Math, Portsmouth, OH 45662 USA
[2] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2021年 / 22卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Nnormal partially ordered Banach space; regular partially ordered Banach space fixed point; chain-complete property of partially ordered Banach space; EXISTENCE; SETS;
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 study the connections between the normality, regularity, full regularity, and chain-complete property in partially ordered Banach spaces. Then, by applying these properties, we prove some fixed point theorems on partially ordered Banach spaces. As applications of these fixed point theorems, we prove the existence of solutions of some integral equations, such as Hammerstein integral equations, in Banach spaces.
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页码：1077 / 1095
页数：19
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