This is an announcement for the paper “On the Normality, Regularity and Chain-completeness of Partially Ordered Banach Spaces and Applications” by Jinlu Lihttps://arxiv.org/find/math/1/au:+Li_J/0/1/0/all/0/1.
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.
The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1705.01580