Fixed point results of an implicit iterative scheme for fractal generations

In this paper, we derive the escape criteria for general complex polynomial $ f(x) = \sum_{i = 0}^{p}a_{i}x^{i} $ with $ p\geq2 $, where $ a_{i} \in \mathbb{C} $ for $ i = 0, 1, 2, \dots, p $ to generate the fractals. Moreover, we study the orbit of an implicit iteration (i.e., Jungck-Ishikawa itera...

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Bibliographic Details
Main Authors: Haixia Zhang, Muhammad Tanveer, Yi-Xia Li, Qingxiu Peng, Nehad Ali Shah
Format: Article
Language:English
Published: AIMS Press 2021-09-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021761?viewType=HTML