Abstract
In this article, we prove some Darbo’s type fixed point theorems associated with measure of noncompactness via the concept of operators A(f; .) and weakly JS-contractive condition in Banach space. Moreover, as an application of our results, we study the existence of solutions for a system of differential equations. Finally, we present an example to support the effectiveness of our results.
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Acknowledgements
The research of the Second author (M. Mursaleen) was supported by SERB Core Research Grant, DST, New Delhi, under Grant NO.EMR/2017/000340.
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Communicated by Carlos Conca.
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Banaei, S., Mursaleen, M. & Parvaneh, V. Some fixed point theorems via measure of noncompactness with applications to differential equations. Comp. Appl. Math. 39, 139 (2020). https://doi.org/10.1007/s40314-020-01164-0
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DOI: https://doi.org/10.1007/s40314-020-01164-0