摘要
本文通过引入全序拟备集和全序自备集概念，给出了半序集上混合单调映象的耦合不动点的若干存在性定理及其应用，它们包含半序Ｂａｎａｃｈ空间和半序拓扑空间上的许多相应结果作为特例．
By introducing the concepts of the totally ordered quasicomplete set and totally ordered self-complete set in this paper, some existence theorems of coupled fixed point for mixed monotone mappings in semi-ordered set and its application are given. As a special case some relevant results in semi-ordered Banach space and semi-ordered topological space are included.
关键词
半序集
全序拟备集
耦合不动点
不动点
semi-ordered set
mixed monotone mappings
totally ordered quasi-complete set
totally ordered self-complete set
coupled fixed point
