摘要
文章利用半序方法,在半序线性空间中研究了一类具有凹凸性混合单调映射不动点存在唯一性的充分必要条件,并将所获结果应用于微分方程,从而推广了相关结论。
Both necessary and sufficient conditions for the existence and uniqueness of fixed points, which belong to a class of mixed monotone mappings with convexity and concavity in partially-ordered linear space, are studied by using partial order theory. Moreover, the obtained results are applied in differential equation, thus the relevant results are generalized and improved.
出处
《太原科技大学学报》
2006年第6期489-492,共4页
Journal of Taiyuan University of Science and Technology
关键词
半序线性空间
混合单调映射
不动点
partially-ordered linear space, mixed monotone mapping, fixed point
作者简介
王敏星（1982-），女，硕士研究生，研究方向为非线性泛函分析。
