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Application of Petryshyn’s fixed point theorem to solvability for functional integral equations

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  • Deep, Amar
  • Deepmala,
  • Ezzati, R.

Abstract

In this article, we establish the existence of solution for some functional integral equations by Petryshyn’s fixed point theorem in Banach algebra. Our existence results cover several existence results obtained by numerous authors under some weaker conditions. We also give some examples of functional integral equations to verify the application of proved results.

Suggested Citation

  • Deep, Amar & Deepmala, & Ezzati, R., 2021. "Application of Petryshyn’s fixed point theorem to solvability for functional integral equations," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    • Handle: RePEc:eee:apmaco:v:395:y:2021:i:c:s0096300320308316
    DOI: 10.1016/j.amc.2020.125878
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    References listed on IDEAS

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    1. Rabbani, Mohsen & Arab, Reza & Hazarika, Bipan, 2019. "Solvability of nonlinear quadratic integral equation by using simulation type condensing operator and measure of noncompactness," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 102-117.
    2. Hazarika, Bipan & Srivastava, H.M. & Arab, Reza & Rabbani, Mohsen, 2019. "Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to find solution," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 131-146.
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    Cited by:

    1. Kazemi, M. & Yaghoobnia, A.R., 2022. "Application of fixed point theorem to solvability of functional stochastic integral equations," Applied Mathematics and Computation, Elsevier, vol. 417(C).

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