序拓扑空间中的耦合不动点结果及其对抽象微分方程的应用

Coupled Fixed Point Results in Ordered Topological Spaces with Applications to Abstract Differential Equations

本文得到半序拓扑空间中某些不连续混合单调映射耦合不动点的存在性。作为应用，研究了Ｂａｎａｃｈ空间上一类含间断项的非线性微分方程最小最大拟解对的存在性。

Abstract In this paper , we give the existence theorems of coupled fixed points on discontinuous mixed monotone mapping in ordered topological spaces. As application,we study the existence of pair of minimal-maximal quasisolutions for a class of nonlinear differential equations with discontinuous right hand side.