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An Extension of Darbo's Theorem via Measure of Non-Compactness with its Application in the Solvability of a System of Integral Equations
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An Extension of Darbo's Theorem via Measure of Non-Compactness with its Application in the Solvability of a System of Integral Equations

Behnam Matani, Jamal Rezaei Roshan and Nawab Hussain
Filomat, Vol.33(19), pp.6315-6334
01/01/2019
DOI: https://doi.org/10.2298/FIL1919315M

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this work, we present a new extension of Darbo's theorem for two different classes of altering distance functions via measure of non-compactness. Using two-variable contractions we obtain the well-known results in this literature (see [22]). We also use these results to discuss the existence of solutions for a system of integral equations. Finally, we provide an example to confirm the results obtained.
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https://doi.org/10.2298/FIL1919315MView
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