Fixed point results of an implicit iterative scheme for fractal generations
Keyword(s):
<abstract><p>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 iteration with $ s $-convexity) and develop algorithms for Mandelbrot set and Multi-corn or Multi-edge set. Moreover, we draw some complex graphs and observe how the graph of Mandelbrot set and Multi-corn or Multi-edge set vary with the variation of $ a_{i} $'s.</p></abstract>
2012 ◽
Vol 25
(11)
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pp. 1656-1660
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2009 ◽
Vol 3
(4)
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pp. 719-733
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2011 ◽
Vol 393-395
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pp. 543-545
2012 ◽
Vol 63
(6)
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pp. 1089-1103
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