摘要
3种膨胀映射的定义及其相应的不动点定理是由王尚志等首先提出和建立的。之后,何松年对第一型膨胀映射的不动点定理做了进一步讨论,现报道膨胀映射不动点定理研究工作的继续和深入,着重进一步研究第二型和第三型膨胀映射的不动点定理,给出了两个理论上更深刻、应用上更方便的新结果。
Three kinds of expansion mappings and relevant fixed-point theorems were initiated and proved by Wang Shangzhi. The first kind of fixed-point theorems on the expansion mappings was developed by He Songnian.This paper continues the research on the second and third expansion mappings.Two results are given in the paper that are theoretically profound and more convenient in application of the theorem.
出处
《中国民航学院学报》
2004年第5期50-51,54,共3页
Journal of Civil Aviation University of China
基金
中国民航总局中青年教育研究基金资助项目(01-3-01)
关键词
压缩映射
膨胀映射
完备度量空间
不动点
contraction operator
expansion operator
complete metric space
fixed-point
