Iterated function system of generalized cyclic F-contractive mappings




iterated functions system, attractors of IFS, F-contraction, cyclic F-contractions, cyclic rational F-contraction, set valued mapping


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.


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Author Biographies

Talat Nazir, University of South Africa

Department of Mathematical Science

Mujahid Abbas, University of Pretoria

Department of Mathematics, Government College University Katchery Road (Pakistan) and Department of Mathematics and Applied Mathematics, University of Pretoria (South Africa)

Hira Haleem Lodhi, COMSATS University Islamabad

Department of Mathematics


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How to Cite

T. Nazir, M. Abbas, and H. . Haleem Lodhi, “Iterated function system of generalized cyclic F-contractive mappings”, Appl. Gen. Topol., vol. 25, no. 1, pp. 79–96, Apr. 2024.



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