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Common Fixed Point Results for Generalized Wardowski Type Contractive Multi-Valued Mappings

Author

Listed:
  • Hüseyin Işık

    (Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
    Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam)

  • Vahid Parvaneh

    (Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran)

  • Babak Mohammadi

    (Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran)

  • Ishak Altun

    (Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Kirikkale 71450, Turkey)

Abstract

In this paper, we introduce generalized Wardowski type quasi-contractions called α - ( φ , Ω ) -contractions for a pair of multi-valued mappings and prove the existence of the common fixed point for such mappings. An illustrative example and an application are given to show the usability of our results.

Suggested Citation

  • Hüseyin Işık & Vahid Parvaneh & Babak Mohammadi & Ishak Altun, 2019. "Common Fixed Point Results for Generalized Wardowski Type Contractive Multi-Valued Mappings," Mathematics, MDPI, vol. 7(11), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1130-:d:288255
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