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Extended Mizoguchi-Takahashi Type Fixed Point Theorems and Their Application

Author

Listed:
  • Babak Mohammadi

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

  • Vahid Parvaneh

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

  • Hassen Aydi

    (Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
    China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • 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)

Abstract

The aim of this work is to extend the Mizoguchi-Takahashi fixed point result motivated by the approach of Wardowski (2012) and provide some related fixed point results in (ordered) metric spaces. An example is given to support the main results. Moreover, we provide an application on nonlinear differential equations.

Suggested Citation

  • Babak Mohammadi & Vahid Parvaneh & Hassen Aydi & Hüseyin Işık, 2019. "Extended Mizoguchi-Takahashi Type Fixed Point Theorems and Their Application," Mathematics, MDPI, vol. 7(7), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:7:p:575-:d:243606
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    References listed on IDEAS

    as
    1. Mujahid Abbas & Hassen Aydi & Erdal Karapınar, 2011. "Tripled Fixed Points of Multivalued Nonlinear Contraction Mappings in Partially Ordered Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-12, December.
    2. Sirous Moradi & Erdal Karapınar & Hassen Aydi, 2013. "Existence of Solutions for a Periodic Boundary Value Problem via Generalized Weakly Contractions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, April.
    Full references (including those not matched with items on IDEAS)

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