New Applications of Perov’s Fixed Point Theorem

Sorin Mureşan, Loredana Florentina Iambor () and Omar Bazighifan ()
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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

Mathematics, 2022, vol. 10, issue 23, 1-9

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.

Keywords: fixed point; Perov’s fixed point theorem; differential equation system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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