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Fixed Point Theorems for Almost Z-Contractions with an Application

Author

Listed:
  • Huseyin Isik

    (Department of Mathematics, Faculty of Science and Arts, Muş Alparslan University, Muş 49250, Turkey)

  • Nurcan Bilgili Gungor

    (Department of Mathematics, Faculty of Science and Arts, Amasya University, Amasya 05100, Turkey)

  • Choonkil Park

    (Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea)

  • Sun Young Jang

    (Department of Mathematics, University of Ulsan, Ulsan 44610, Korea)

Abstract

In this paper, we investigate the existence and uniqueness of a fixed point of almost contractions via simulation functions in metric spaces. Moreover, some examples and an application to integral equations are given to support availability of the obtained results.

Suggested Citation

  • Huseyin Isik & Nurcan Bilgili Gungor & Choonkil Park & Sun Young Jang, 2018. "Fixed Point Theorems for Almost Z-Contractions with an Application," Mathematics, MDPI, vol. 6(3), pages 1-8, March.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:3:p:37-:d:135076
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