Iterated function system with fuzzy Banach orbital condition for fractal generation

In this paper our final objective is to develop a method for generation of fractals in fuzzy metric spaces. This is done by applying an iterated function system consisting of a fuzzy metric space and a family of continuous functions satisfying fuzzy Banach orbital condition. The Banach orbital condition is brought about by an application of concatenated words generated out of a set of finite alphabets. It is shown that the iterated function system considered here is weakly Picard and admits attractors. The process of fractal generation is illustrated.