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New Applications of Perov’s Fixed Point Theorem

Author

Listed:
  • Sorin Mureşan

    (Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania)

  • Loredana Florentina Iambor

    (Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania)

  • Omar Bazighifan

    (Department of Mathematics, Faculty of Science, Hadhramout University, Mukalla 50512, Yemen
    Department of Mathematics, Faculty of Education, Seiyun University, Seiyun 50512, Yemen
    Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy)

Abstract

The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are obtained for the proposed system. The approximation of the solution is given, and as a novelty, the approximation of its derivative is also obtained using the same iteration steps.

Suggested Citation

  • Sorin Mureşan & Loredana Florentina Iambor & Omar Bazighifan, 2022. "New Applications of Perov’s Fixed Point Theorem," Mathematics, MDPI, vol. 10(23), pages 1-9, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4597-:d:993152
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    References listed on IDEAS

    as
    1. Osama Moaaz & Dimplekumar Chalishajar & Omar Bazighifan, 2019. "Some Qualitative Behavior of Solutions of General Class of Difference Equations," Mathematics, MDPI, vol. 7(7), pages 1-12, July.
    2. Mustafa T. Yaseen & Ali Hasan Ali & Areej A. Al-moneef & Omer Bazighifan & Taher A. Nofal & F. Ghanim & Abdellatif Ben Makhlouf, 2022. "New Results of Fixed-Point Theorems in Complete Metric Spaces," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-5, August.
    3. Barakah Almarri & Ali Hasan Ali & António M. Lopes & Omar Bazighifan, 2022. "Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions," Mathematics, MDPI, vol. 10(6), pages 1-10, March.
    Full references (including those not matched with items on IDEAS)

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