摘要
本文研究半序线性空间中一类混合单调映射不动点的存在唯一性及其迭代方法，对所述映射没作连续性或紧性假定．其推论改进了序Banach空间中增算子与减算子的某些已知结果．最后把所得结论用于常微分方程奇异边值问题．
In this paper, we study the uniqueness and existence of fixed points for a class of mixed monotone mappings in the partially ordered linear space. The iterative methods are also discussed. Nor the continuity or the compactness of mappings is assumed. The corollary improves some well--known results of increasing or decreasing operators. The obtained results are then applied to the singular boundary problems in ordinary differential equations.
出处
《系统科学与数学》
CSCD
北大核心
1999年第2期217-224,共8页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金
山东省自然科学基金
关键词
半序线性空间
不动点
混合单调映射
存在性
Partially ordered linear space, σ-complete set, e--concave convex mapping,fixed point
