MMN-3617

Solvability of integral equations via the technique of measures of noncompactness

Babak Mohammadi; Mohammad Mursaleen; Vahid Parvaneh;

Abstract

Motivated by the work of [Mohammadi et al., Mathematics, 2019, 7, 575.], we extend here Darbo’s fixed point theorem in a Banach space using the combined technique of Wardowski-Mizoguchi-Takahashi contraction. The existence of solution for a system of integral equations is provided and an example to support the effectiveness of our results is also given. Our results generalize and extend some famous comparable obtained results.


Vol. 25 (2024), No. 2, pp. 887-898
DOI: https://doi.org/10.18514/MMN.2024.3617


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