摘要
由一族Kannan映射可以构成一个K-迭代函数系(KIFS),Sahu已经证明了该KIFS有唯一的吸引子.本文在此基础上研究含参量KIFS吸引子在Hausdorff度量下关于参数的连续依赖性,并讨论KIFS的拼贴性质.
K-iterated function system (KIFS), which is constituted by a class of Kannan mappings, has been proved to have a unique attractor by Sahu etc. This paper is concerned with the continuous dependence on the pa- rameter of the attractor of KIFS with a parameter in Hausdorff measure, and the collage property for the KIFS is dis- cussed.
出处
《淮阴师范学院学报(自然科学版)》
CAS
2012年第2期142-145,共4页
Journal of Huaiyin Teachers College;Natural Science Edition
关键词
K迭-代函数系
参数的连续依赖性
KIFS拼贴性质
K-iterated function system
continuous dependence on a parameter
KIFS collage property