Cyclic weak ϕ iterated function system

Abstract

In this article, we are considering the cyclic weak ϕ-contraction and prove that the result is also true in Hausdorff metric space. We are constructing a cyclic weak ϕ iterated function system (IFS), which gives the self-referential set or attractor, called the fractal.

Keywords

• complete metric space
• fixed point
• iterated function system
• cyclic weak ϕ-contraction
• fractal
• 28a80
• 37c25
• 47h04
• 47h09
• 47h10