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New Fixed-Point Theorems on an S -metric Space via Simulation Functions

Author

Listed:
  • Nabil Mlaiki

    (Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

  • Nihal Yılmaz Özgür

    (Department of Mathematics, Balıkesir University, 10145 Balıkesir, Turkey)

  • Nihal Taş

    (Department of Mathematics, Balıkesir University, 10145 Balıkesir, Turkey)

Abstract

In this paper, we prove new fixed-point theorems using the set of simulation functions on an S -metric space with some illustrative examples. Our results are stronger than some known fixed-point results. Furthermore, we give an application to the fixed-circle problem with respect to a simulation function.

Suggested Citation

  • Nabil Mlaiki & Nihal Yılmaz Özgür & Nihal Taş, 2019. "New Fixed-Point Theorems on an S -metric Space via Simulation Functions," Mathematics, MDPI, vol. 7(7), pages 1-13, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:7:p:583-:d:244301
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