| 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.
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| Fund Project:Supported by the National Natural Science Foundation of China (19961001) |
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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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