Banach空间中混合单调算子的耦合不动点定理  

Coupling Fixed Point Theorems of Mixed Monotone Operators in Banach Spaces

作　　者：胡美艳 李雲婷 郑雄军[1] HU Meiyan;LI Yunting;ZHENG Xiongjun(School of Mathematics and Information Science,Jiangxi Normal University,330022,Nanchang,PR)

机构地区：[1]江西师范大学数学与信息科学学院,南昌330022

出　　处：《江西科学》2018年第3期391-395,共5页Jiangxi Science

摘　　要：利用锥理论和半序方法,讨论了Banach空间中,当序关系是由某个非零线性连续泛函导出时的混合单调算子的一些耦合不动点定理。In this paper,we discuss the coupling fixed point theorems of the mixed monotone operators in Banach spaces by using the theory of cone and the semi-order method. In that time,the sequence relation is derived from a nonzero linear continuous functional.

关 键 词：混合单点算子 耦合不动点 非零线性连续泛函 半序 锥 

分 类 号：O177.91[理学—数学]