The Monotone Iterative Roots of a Class of Self-Mappings on the Interval
Received:November 04, 1997  
Key Words: continuous self-map   fixed point   iterative root.  
Fund Project:Supported by the National Natural Science Foundation of China (19961001)
Author NameAffiliation
LIU Xin-he Dept. of Math.
Guangxi Univ.
Naning
China
Inst. of Math.
Shantou Univ.
Guangdong
China 
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Abstract:
      Let I = [0,1], 0 < a < b < 1. Let Φab ≡ {F ∈ C0(I): both F|[0,a] and F|[b, 1] are strictly increasing, and F|[a, b] is constant }. In this paper we discuss necessary and sufficient conditions for F ∈Φab to have monotone iterative roots.
Citation:
DOI:10.3770/j.issn:1000-341X.2000.04.002
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