SOME RESULTS OF CONTINUITY ?f
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Abstract:
The dynamical behavior of a map on the unit interval has been the subject of much contemporary research. In this paper, we will consider the relation between the continuity of the map cof and cof for some positive integer k, where f is a continuous map from the unit interval to itself, and ?f is a function which takes any element of the unit interval to the set of all subsequential limits of the orbit of x under f Also, it is shown that for any k, the continuity of ?f implies the equicontinuity of the iterates { f n}.
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Journal title
volume 4 issue 3
pages -
publication date 1993-09-01
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