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半序Banach空间上映射的本质性和平凡性

ESSENTIALITY AND INESSENTIALITY OF MAPPINGS ON ORDERED BANACH SPACES
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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
作者 吴行平
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 不动点 巴拿赫空间 映射 平凡性 cone completely continuous homotopy spectral radius fixed-point
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参考文献3

  • 1白锦东.Hammerstein型非线性积分算子的固有元[J]科学通报,1983(17).
  • 2陈文(山原),秦成林.紧摄动连续映象[J]数学研究与评论,1981(S1).
  • 3陈文(山 原).非线性泛函分析[M]甘肃人民出版社,1982.
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