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Existence of Solutions for an Infinite System of Quadratic Integral Equations in the Banach Algebra \(C(I,c_0)\)

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Abstract

The paper is devoted to prove the existence of solutions for an infinite system of nonlinear quadratic integral equations. This system is investigated in the WC–Banach algebra \(C_0=C(I,c_0)\), consisting of all continuous functions acting from an interval I into the sequence space \(c_0\). The assumptions imposed on the operators involving the system are formulated in terms of a generalized Lipschitz continuity.

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References

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, B.P. 1171 , Road of Soukra Km 3.5, 3000, Sfax, Tunisia

    Aref Jeribi, Bilel Krichen & Bilel Mefteh

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  1. Aref Jeribi
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  2. Bilel Krichen
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  3. Bilel Mefteh
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Correspondence to Bilel Krichen.

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Jeribi, A., Krichen, B. & Mefteh, B. Existence of Solutions for an Infinite System of Quadratic Integral Equations in the Banach Algebra \(C(I,c_0)\). Mediterr. J. Math. 17, 10 (2020). https://doi.org/10.1007/s00009-019-1460-5

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  • DOI: https://doi.org/10.1007/s00009-019-1460-5

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