SOME RESULTS OF CONTINUITY ?f
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 f...
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| Format: | Article |
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| Language: | English |
| Published: |
University of Tehran
1993-09-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31563_c06c6d0bf5560eb9ec4f1f11d41462e0.pdf |
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| _version_ | 1849309505634959360 |
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| collection | DOAJ |
| description | 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}. |
| format | Article |
| id | doaj-art-63c0ecd2b2b94d4796e34822e803ca28 |
| institution | Kabale University |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 1993-09-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-63c0ecd2b2b94d4796e34822e803ca282025-08-20T03:54:07ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141993-09-014331563SOME RESULTS OF CONTINUITY ?fThe 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}.https://jsciences.ut.ac.ir/article_31563_c06c6d0bf5560eb9ec4f1f11d41462e0.pdf |
| spellingShingle | SOME RESULTS OF CONTINUITY ?f Journal of Sciences, Islamic Republic of Iran |
| title | SOME RESULTS OF CONTINUITY ?f |
| title_full | SOME RESULTS OF CONTINUITY ?f |
| title_fullStr | SOME RESULTS OF CONTINUITY ?f |
| title_full_unstemmed | SOME RESULTS OF CONTINUITY ?f |
| title_short | SOME RESULTS OF CONTINUITY ?f |
| title_sort | some results of continuity f |
| url | https://jsciences.ut.ac.ir/article_31563_c06c6d0bf5560eb9ec4f1f11d41462e0.pdf |