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Generalized rational contractions in semi metric spaces via iterated function system

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

We present the iterated function systems of generalized rational contractive mappings in Hausdorff semi metric spaces. We also study the well-posedness of attractors based problems of generalized rational contractive operator in the framework of semi metric spaces. An example is presented to support the results proved therein. These results extend, improve and generalize many results in the existing literature.

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Acknowledgments

Authors are grateful to the referees for the useful remarks which improved the work. The Project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant no. G: 268-130-1440. The authors, therefore, acknowledge with thanks DSR for technical and financial support.

Funding

This research received funding from Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia.

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Authors and Affiliations

  1. Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia

    Marwan Amin Kutbi & Abdul Latif

  2. Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, 22060, Pakistan

    Talat Nazir

Authors
  1. Marwan Amin Kutbi
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  2. Abdul Latif
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  3. Talat Nazir
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Correspondence to Abdul Latif.

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Kutbi, M.A., Latif, A. & Nazir, T. Generalized rational contractions in semi metric spaces via iterated function system. RACSAM 114, 187 (2020). https://doi.org/10.1007/s13398-020-00915-2

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