Iterated function system of generalized cyclic F-contractive mappings

• Nazir, Talat ^[1] ; Abbas, Mujahid ^[2] ; Haleem Lodhi, Hira ^[3]
  1. [1] University of South Africa

     University of South Africa

     City of Tshwane, Sudáfrica

     
  2. [2] University of Pretoria

     University of Pretoria

     City of Tshwane, Sudáfrica

     
  3. [3] COMSATS University Islamabad

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• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 25, Nº. 1, 2024, págs. 79-96
• Idioma: inglés
• DOI: 10.4995/agt.2024.20211
• Enlaces
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• Resumen

  • 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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