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An existence theorem for nonlinear functional Volterra integral equations via Petryshyn's fixed point theorem
Journal article   Open access  Peer reviewed

An existence theorem for nonlinear functional Volterra integral equations via Petryshyn's fixed point theorem

Soniya Singh, Satish Kumar, Mohamed M. A. Metwali, Saud Fahad Aldosary, Kottakkaran S. Nisar and Department of Mathematics, Faculty of Science, Damanhour Universty, Damanhour, Egypt
AIMS mathematics, Vol.7(4), pp.5594-5604
01/01/2022
DOI: https://doi.org/10.3934/math.2022309

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Using the method of Petryshyn's fixed point theorem in Banach algebra, we investigate the existence of solutions for functional integral equations, which involves as specific cases many functional integral equations that appear in different branches of non-linear analysis and their applications. Finally, we recall some particular cases and examples to validate the applicability of our study.
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https://doi.org/10.3934/math.2022309View
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