Iterated function system of generalized cyclic F-contractive mappings

Abstract

The aim of this paper is to study the sufficient conditions for the existence of attractor of a generalized cyclic iterated function system composed of a complete metric space and a finite collection of generalized cyclic F-contraction mappings. Some examples are presented to support our main results and concepts defined herein. The results proved in the paper extend and generalize various well known results in the existing literature.

Keywords

• iterated functions system
• attractors of ifs
• f-contraction
• cyclic f-contractions
• cyclic rational f-contraction
• set valued mapping