| Nonexistence of Iterative Roots on PM Functions |
| Received:September 25, 2011 Revised:September 03, 2012 |
| Key Words:
iterative root PM function fort.
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| Fund Project:Supported by the National Natural Foundation of China (Grant No.11201184) and the Scientific Research Fund of Sichuan Provincial Education Department (Grant No.11ZA160). |
| Author Name | Affiliation | | Lin LI | Department of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, P. R. China | | Xiaohua LIU | Department of Mathematics and Information Science, Leshan Normal College, Sichuan 614004, P. R. China | | Liu LIU | Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, P. R. China |
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| Abstract: |
| Many results are given for iterative roots of PM functions, a class of non-monotonic continuous functions, when the characteristic interval exists. In this paper we discuss iterative roots in the opposite case and partly answer the Open Problem 1 proposed in [Ann. Polon. Math., 1997, 65(2): 119--128]. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.02.007 |
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