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On ℋ-Simulation Functions and Fixed Point Results in the Setting of ωt -Distance Mappings with Application on Matrix Equations

Author

Listed:
  • Anwar Bataihah

    (Department of mathematics, School of Science, University of Jordan, Amman 11942, Jordan)

  • Wasfi Shatanawi

    (Department of Mathematics and General Courses, Prince Sultan University, Riyadh 11586, Saudi Arabia
    Department of Medical Research, China Medical University Hospital China Medical University, Taichung 40402, Taiwan
    Department of M-Commerce and Multimedia Applications, Asia University, Taichung 41354, Taiwan
    Current address: Department of Mathematics and general courses, Prince Sultan University, Riyadh, Saudi Arabia.)

  • Tariq Qawasmeh

    (Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid 22110, Jordan)

  • Raed Hatamleh

    (Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid 22110, Jordan)

Abstract

The concepts of b -metric spaces and ω t -distance mappings play a key role in solving various kinds of equations through fixed point theory in mathematics and other science. In this article, we study some fixed point results through these concepts. We introduce a new kind of function namely, H -simulation function which is used in this manuscript together with the notion of ω t -distance mappings to furnish for new contractions. Many fixed point results are proved based on these new contractions as well as some examples are introduced. Moreover, we introduce an application on matrix equations to focus on the importance of our work.

Suggested Citation

  • Anwar Bataihah & Wasfi Shatanawi & Tariq Qawasmeh & Raed Hatamleh, 2020. "On ℋ-Simulation Functions and Fixed Point Results in the Setting of ωt -Distance Mappings with Application on Matrix Equations," Mathematics, MDPI, vol. 8(5), pages 1-14, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:837-:d:361465
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    References listed on IDEAS

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    1. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2013. "Further Remarks on Fixed-Point Theorems in the Context of Partial Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, September.
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