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A Cone Measure of Noncompactness and Some Generalizations of Darbo's Theorem with Applications to Functional Integral Equations
Journal article   Open access  Peer reviewed

A Cone Measure of Noncompactness and Some Generalizations of Darbo's Theorem with Applications to Functional Integral Equations

Mohamed Jleli, Mohammad Mursaleen, Kishin Sadarangani and Bessem Samet
Journal of function spaces, Vol.2016, pp.1-11
01/01/2016
DOI: https://doi.org/10.1155/2016/9896502

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We introduce the concept of cone measure of noncompactness and obtain some generalizations of Darbo's theorem via this new concept. As an application, we establish an existence theorem for a system of integral equations. An example is also provided to illustrate the obtained result.
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https://doi.org/10.1155/2016/9896502View
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