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The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions

Author

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  • Maria Dobriţoiu

    (Department of Mathematics and Computer Science, University of Petroşani, 332006 Petroşani, Romania)

Abstract

Using some of the extended fixed point results for Geraghty contractions in b -metric spaces given by Faraji, Savić and Radenović and their idea to apply these results to nonlinear integral equations, in this paper we present some existence and uniqueness conditions for the solution of a nonlinear Fredholm–Volterra integral equation with a modified argument.

Suggested Citation

  • Maria Dobriţoiu, 2020. "The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions," Mathematics, MDPI, vol. 9(1), pages 1-10, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2020:i:1:p:29-:d:467852
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