Second Descendible Self-Mapping with Closed Periodic Points Set

• 作者: Fanping Zeng Gengrong Zhang Zhanjiang Ji
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: PERIODIC POINT RECURRENT POINT w-Limit POINT SECOND Descendible Map
• 年，卷（期）: 2013,（7）
• 页码范围: 969-971
• 页数: 3页
• 分类号: O1

摘要

Let and f:Xn→Xn be a continuous map. If f is a second descendible map, then P(f) is closed if and only if one of the following hold: 1);2) For any z ε R (f), there exists a yεw (z,f) ∩ P(f) such that every point of the set orb (y,f) is a isolated point of the set w (z,f);3) For any z ε R(f), the set w (z,f) is finite;4) For any z ε R(f), the set w' (z,f) is finite. The consult give another condition of f with closed periodic set other than [1].