On the Normality, Regularity and Chain-completeness of Partially Ordered Banach Spaces and Applications
Functional Analysis
2017-05-05 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1705.01580,
title = {On the Normality, Regularity and Chain-completeness of Partially Ordered Banach Spaces and Applications},
author = {Jinlu Li},
journal= {arXiv preprint arXiv:1705.01580},
year = {2017}
}
Comments
There are 22 pages in this paper