摘要
相对Nielsen周期点理论是讨论形如f:(X,A)→(X,A)映射的周期点个数估计问题,本文对已知的估计量给予统一的处理.利用这种方法,定义了两个新的Nielsen型数, NPn(f;X-A)和NΦn(f;X-A),它们分别是映射f在cl(X-A)中的n周期点和最小周期为n的周期点个数的下界.
Relative Nielsen periodic point theory is concerned with the estimation of the number of periodic points of the maps of the form f : (X, A) → (X, A). This paper presents a kind of systematic treatment for the existed estimations. By using this method, the author defines two new Nielsen type numbers, NPn(f; X - A) and NΦn(f; X - A), which are lower bounds for the numbers of periodic points of period n and periodic points of least period n of f on Cl(X - A) respectively.
出处
《数学年刊（A辑）》
CSCD
北大核心
2003年第2期193-198,共6页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.19901020)
北京市自然科学基金(No.1992001
No.1032002)资助的项目.
