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Generalized ( σ , ξ )-Contractions and Related Fixed Point Results in a P.M.S

Author

Listed:
  • Vahid Parvaneh

    (Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb 0834, Iran)

  • Babak Mohammadi

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

  • Aiman Mukheimer

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

Abstract

In this paper, we present the concept of Θ − ( σ , ξ ) Ω -contraction mappings and we nominate some related fixed point results in ordered p -metric spaces. Our results extend several famous ones in the literature. Some examples and an application are given in order to validate our results.

Suggested Citation

  • Vahid Parvaneh & Babak Mohammadi & Hassen Aydi & Aiman Mukheimer, 2019. "Generalized ( σ , ξ )-Contractions and Related Fixed Point Results in a P.M.S," Mathematics, MDPI, vol. 7(5), pages 1-14, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:481-:d:234684
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    References listed on IDEAS

    as
    1. Shatanawi, Wasfi, 2012. "Some fixed point results for a generalized ψ-weak contraction mappings in orbitally metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 520-526.
    2. Nayab Alamgir & Quanita Kiran & Hassen Aydi & Aiman Mukheimer, 2019. "A Mizoguchi–Takahashi Type Fixed Point Theorem in Complete Extended b -Metric Spaces," Mathematics, MDPI, vol. 7(5), pages 1-15, May.
    3. Hassen Aydi & Radoje Banković & Ivan Mitrović & Muhammad Nazam, 2018. "Nemytzki-Edelstein-Meir-Keeler Type Results in -Metric Spaces," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-7, July.
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