QUASICONTINUITY, NONATTRACTING POINTS, DISTRIBUTIVE CHAOS AND RESISTANCE TO DISRUPTIONS
We prove that any continuous function can be locally approximated at a fixed point $x_{0}$ by an uncountable family resistant to disruptions by the family of continuous functions for which $x_{0}$ is a fixed point. In that context, we also consider the property of quasicontinuity.
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| Veröffentlicht in: | Bulletin of the Australian Mathematical Society 2023-02, Vol.107 (1), p.102-111 |
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| container_end_page | 111 |
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| container_issue | 1 |
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| container_title | Bulletin of the Australian Mathematical Society |
| container_volume | 107 |
| creator | KUCHARSKA, MELANIA PAWLAK, RYSZARD J. |
| description | We prove that any continuous function can be locally approximated at a fixed point
$x_{0}$
by an uncountable family resistant to disruptions by the family of continuous functions for which
$x_{0}$
is a fixed point. In that context, we also consider the property of quasicontinuity. |
| doi_str_mv | 10.1017/S0004972722001101 |
| format | Article |
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$x_{0}$
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$x_{0}$
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$x_{0}$
by an uncountable family resistant to disruptions by the family of continuous functions for which
$x_{0}$
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| fulltext | fulltext |
| identifier | ISSN: 0004-9727 |
| ispartof | Bulletin of the Australian Mathematical Society, 2023-02, Vol.107 (1), p.102-111 |
| issn | 0004-9727 1755-1633 |
| language | eng |
| recordid | cdi_proquest_journals_2763166199 |
| source | AUTh Library subscriptions: Cambridge Journals Online |
| subjects | Continuity (mathematics) Dynamical systems Fixed points (mathematics) |
| title | QUASICONTINUITY, NONATTRACTING POINTS, DISTRIBUTIVE CHAOS AND RESISTANCE TO DISRUPTIONS |
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