A new approach to fractals via best proximity point
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Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we present a new approach to fractals through best proximity points, inspired by the remarkable relationship between fixed point theory and fractal theory. In this way, we introduce the concept of proximal IFS generated by a finite set of proximal contractions to expand the concept of IFS, one of the most common methods of creating fractals. Thus, as a new method of obtaining fractal we present a result showing that the proximal IFS has a unique best attractor under the certain conditions on metric spaces. To support our new result an illustrative example is given. (c) 2021 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Fractals; Best proximity point; Iterated function systems; Fixed point
Kaynak
Chaos Solitons & Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
146
