Application of fixed point theorem to solvability of functional stochastic integral equations

M. Kazemi and A.R. Yaghoobnia

Applied Mathematics and Computation, 2022, vol. 417, issue C

Abstract: In this paper, the existence of the solution of a class of nonlinear stochastic functional integral equations is investigated. Such that the concept of measures of noncompactness, and Petryshyn’s fixed point theorem in Banach space has been used. In addition to proving the theorems of the existence of the solution, by solving some examples, it is shown that the method is efficient. We also give an example that satisfies the conditions of our main theorem, while the conditions described in some other papers do not.

Keywords: Stochastic functional integral equations; Existence of solution; Measures of noncompactness; Fixed point theorem (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:417:y:2022:i:c:s0096300321008419

DOI: 10.1016/j.amc.2021.126759

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