摘要
给出了半序Banach空间上映射的本质性和平凡性的几个判定定理,应用它们得到了锥压缩不动点定理的下述推广:定理6设x是benach空间,Y是具有锥K的Banacb空间,Ω_1和Ω_2是X的有界开集,本质,全连续,若则存在使得Ax=Jx。
Some judgement theorems about the essentiality and inessentiality of mappings on ordered Banachspaces are given and with the help of them, the following extensions of cone contraction fixed pointtheorem are obtained. Theorem 6 Suppose that X is a Banach space,Y is a Banach space with a cone K,and areopen and bounded in X,is essential,is completelycontinuous.Ifthen there exists such that
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
1994年第1期5-10,共6页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
锥
不动点
巴拿赫空间
映射
平凡性
cone
completely continuous
homotopy
spectral radius
fixed-point