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Common Fixed Point Results for Rational ( α , β ) φ - mω Contractions in Complete Quasi Metric Spaces

Author

Listed:
  • Tariq Qawasmeh

    (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)

  • Anwar Bataihah

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

  • Abdalla Tallafha

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

Abstract

The ω -distance mapping is one of the important tools that can be used to get new contractions in fixed point theory. The aim of this paper is to use the concept of modified ω -distance mapping to introduce the notion of rational ( α , β ) φ - m ω contraction. We utilize our new notion to construct and formulate many fixed point results for a pair of two mappings defined on a nonempty set A . Our results modify many existing known results. In addition, we support our work by an example.

Suggested Citation

  • Tariq Qawasmeh & Wasfi Shatanawi & Anwar Bataihah & Abdalla Tallafha, 2019. "Common Fixed Point Results for Rational ( α , β ) φ - mω Contractions in Complete Quasi Metric Spaces," Mathematics, MDPI, vol. 7(5), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:392-:d:227245
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