-CONTRACTIVE ORBITAL AFFINE ITERATED FUNCTION SYSTEMS

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作者
Mihail, Alexandru [1 ]
Savu, Irina [2 ]
机构
[1] Faculty of Mathematics and Computer Science, University of Bucharest, Romania
[2] Department of Mathematics and Informatics, Politehnica University of Bucharest, Romania
来源
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2023年 / 85卷 / 01期
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摘要
In this paper, we introduce the notion of -contractive orbital affine iterated function system (oAIFS for short), which is based on the notions of affine iterated function system and -contractive orbital iterated function system. We present two results which give a description of the functions of an oAIFS and establish sufficient conditions to exist a norm with specific properties on the linear spaces where the functions are defined. Two examples are provided. © 2023, Politechnica University of Bucharest. All rights reserved.
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页码:13 / 24
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