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A survey: F-contractions with related fixed point results

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Abstract

In this note, we aim to review the recent results on F-contractions, introduced by Wardowski. After examining the fixed point results for such operators, we collect the sequent results in this direction in a different setting. One of the aims of this survey is to provide a complete collection of several fixed generalizations and extensions of F-contractions.

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Authors and Affiliations

  1. Institute of Research and Development, Duy Tan University, 550000, Da Nang, Vietnam

    Erdal Karapınar

  2. Faculty of Natural Sciences, Duy Tan University, 550000, Da Nang, Vietnam

    Erdal Karapınar

  3. Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, Taiwan

    Erdal Karapınar

  4. Department of Mathematics, Cankaya University, 06790, Ankara, Turkey

    Erdal Karapınar

  5. Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500091, Brasov, Romania

    Andreea Fulga

  6. Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., MSC 172, Kingsville, TX, 78363-8202, USA

    Ravi P. Agarwal

  7. Florida Institute of Technology, Melbourne, FL, 32901, USA

    Ravi P. Agarwal

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  1. Erdal Karapınar
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  2. Andreea Fulga
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Karapınar, E., Fulga, A. & Agarwal, R.P. A survey: F-contractions with related fixed point results. J. Fixed Point Theory Appl. 22, 69 (2020). https://doi.org/10.1007/s11784-020-00803-7

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