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On Some New Multivalued Results in the Metric Spaces of Perov’s Type

Author

Listed:
  • Liliana Guran

    (Department of Pharmaceutical Sciences, “Vasile Goldiş” Western University of Arad, L. Rebreanu Street, no. 86, 310414 Arad, Romania)

  • Monica-Felicia Bota

    (Department of Mathematics, Babeş-Bolyai University, Kogălniceanu Street No.1, 400084 Cluj-Napoca, Romania)

  • Asim Naseem

    (Department of Mathematics, GC University, Lahore 54000, Pakistan)

  • Zoran D. Mitrović

    (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)

  • Manuel de la Sen

    (Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, PO Box 48940, Leioa, 48940 Bizkaia, Spain)

  • Stojan Radenović

    (Faculty of Mechanical Engineering, Kraljice Marije 16, University of Belgrade, 11120 Beograd 35, Serbia)

Abstract

The purpose of this paper is to present some new fixed point results in the generalized metric spaces of Perov’s sense under a contractive condition of Hardy–Rogers type. The data dependence of the fixed point set, the well-posedness of the fixed point problem and the Ulam–Hyers stability are also studied.

Suggested Citation

  • Liliana Guran & Monica-Felicia Bota & Asim Naseem & Zoran D. Mitrović & Manuel de la Sen & Stojan Radenović, 2020. "On Some New Multivalued Results in the Metric Spaces of Perov’s Type," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:438-:d:333658
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    Citations

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    Cited by:

    1. Monairah Alansari & Yahya Almalki & Muhammad Usman Ali, 2023. "Czerwik Vector-Valued Metric Space with an Equivalence Relation and Extended Forms of Perov Fixed-Point Theorem," Mathematics, MDPI, vol. 11(16), pages 1-14, August.
    2. Fahim Ud Din & Salha Alshaikey & Umar Ishtiaq & Muhammad Din & Salvatore Sessa, 2024. "Single and Multi-Valued Ordered-Theoretic Perov Fixed-Point Results for θ -Contraction with Application to Nonlinear System of Matrix Equations," Mathematics, MDPI, vol. 12(9), pages 1-15, April.

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