Global convergence of the method of successive approximations on S1 |
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Authors: | Giovanni Di Lena |
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Affiliation: | Istituto di Analisi Matematica, Università di Bari, Palazzo Ateneo, Via Nicolai 2, 70100 Bari, Italy |
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Abstract: | The class of iterating functions of C(S1, S1) for which the method of successive approximations converges for any starting point is characterized; such characterization is given by (i) the existence of a fixed point; (ii) the non-existence of periodic points of an even period. |
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