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The canonical projection between the shift space of an IIFS and its attractor as a fixed point
[摘要] An important class of fractal sets is given by the attractors of iterated function systems which are defined as the fixed points of the associated fractal operators. In the study of such an attractor, an important place is taken by the canonical projection between the shift space associated with the system and the attractor. In this paper, by using different fixed point theorems, we present the canonical projection as the fixed point of a certain operator defined on the space of continuous functions from the shift space on the metric space associated with the system.
[发布日期]  [发布机构] 
[效力级别]  [学科分类] 数学(综合)
[关键词] IFS;IIFS;shift space;attractor;canonical projection;fixed point;54H25;28A80;37C70 [时效性] 
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