半序线性空间中一类混合单调映射的不动点定理  

Fixed Point Theorems for a Class of Mixed Monotone Mappings in Partially-ordered Linear Space

作　　者：王敏星[1] 张玲玲[1] 

机构地区：[1]太原理工大学数学系,太原030024

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

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.

关 键 词：半序线性空间 混合单调映射 不动点 

分 类 号：O177.91[理学—数学]