增算子不动点定理的一个注解  

An Annotation of Fixed Point Theorems Forincreasing Operators

作　　者：贾武艳 

机构地区：[1]长治学院,山西长治046011

出　　处：《太原师范学院学报（自然科学版）》2017年第4期26-27,共2页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：2017年长治学院课题(JC201709)

摘　　要：人们对于增算子不动点的存在性研究逐渐深入,并得到大量的不动点存在性的结论但其证明大多依赖于Zorn引理.文章给出了关于Banach空间中的一类全正则锥条件下增算子不动点定理独立于Zorn引理的新证明,使之前的定理更加绝对化.People research on existence of fixed points of increasing operators is progress- ing gradually,and get a lot of conclusion about the existence of fixed point. However, the proof depends on the Zorn＇s lemma. To present a new proof that the theorem of fixed point for increas- ing operators in the fully regular cone condition is in dependent of the Zorn＇s lemma in Banach spaces. And this proof is in order to make previous theorem more absolute.

关 键 词：ZORN引理 锥 不动点 增算子 

分 类 号：O177[理学—数学]