V-variable fractals and superfractals have recently been introduced by Barnsley [Barnsley Michael, Hutchinson John, Stenflo Orjan. A fractal valued random iteration algorithm and fractal hierarchy. Fractals 2005;13(2):111–46 [MR2151094 (2006b:28014)]] to the world of mathematics and computer graphics. In this paper, we introduce superior iterates to study the role of contractive and non-contractive operators in relation to superfractals. A modified algorithm along with details of computer implementation is also provided to compute V-variable fractals. A brief discussion about the various aspects of the computed figures indicates usefulness of the study.
In this paper, we extend Jungck–SP iteration with <inline-formula> <tex-math notation="LaTeX">$s$ </tex-math></inline-formula>–convexity in second sense and define its orbit. We prove the fixed point results for fractal generation via extended iteration and utilize these results to develop algorithms for fractal visualization. Moreover, we present some complex graphs of Julia and Mandelbrot sets in Jungck–SP orbit with <inline-formula> <tex-math notation="LaTeX">$s$ </tex-math></inline-formula>–convexity. We also present some examples to show the variation in images with involved parameters.
Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights.