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A Result on a Pata-Ćirić Type Contraction at a Point

Author

Listed:
  • Erdal Karapınar

    (Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics, Çankaya University, 06790 Etimesgut, Ankara, Turkey
    These authors contributed equally to this work.)

  • Andreea Fulga

    (Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania
    These authors contributed equally to this work.)

  • Vladimir Rakočević

    (Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
    These authors contributed equally to this work.)

Abstract

In this manuscript, we define a new contraction mapping, Pata-Ćirić type contraction at a point, that merges distinct contractions defined by Seghal, Pata and Ćirić. We proved that in a complete space, each Pata-Ćirić type contraction at a point possesses a fixed point. We express an example to illustrate the observed result.

Suggested Citation

  • Erdal Karapınar & Andreea Fulga & Vladimir Rakočević, 2020. "A Result on a Pata-Ćirić Type Contraction at a Point," Mathematics, MDPI, vol. 8(3), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:393-:d:330933
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