A Study of Chaos, Fractals and Their Applications Using Fixed Point

In this book the author studied and worked with the three-step feedback machine and introduced the Ishikawa iterative procedure in the study of polynomial dynamics, which is an entirely new study introduced in fractal analysis and discrete dynamics for the first time in 2010. Relative Superior filled Julia sets and Relative Superior Mandelbrot sets related to Ishikawa Relative Superior iterations are introduced. Consequently, several new algorithms were used to generate Relative Superior filled Julia sets and Relative Superior Mandelbrot. The generation of fractals and study of the dynamics of transcendental function is one of emerging and interesting field of research nowadays. The complex dynamics of Sine function is also introduced to generate new Relative Superior Mandelbrot set and Relative Superior Julia set. The study of transcendental function has emerged out as discrete dynamical systems in numerical and complex analysis.