Strictly Decreasing Solutions of a Class of Iterative Equations on the Unit Circle
نویسندگان
چکیده
Let C0 X,X be the set of all continuous self-mappings on a topological space X. Let f ∈ C0 X,X . For integer n ≥ 0, define the nth iterate of f by f f ◦ fn−1 and f0 id, where id denotes the identity mapping on X and ◦ denotes the composition of mappings. An equation with iteration as its main operation is simply called an iterative equation. Founded on the problem of iterative roots, the problem of invariant curves and some problems originating from dynamical systems, and the iterative equation
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