Some fixed point theorems via measure of noncompactness with applications to differential equations

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作者
Shahram Banaei
Mohammad Mursaleen
Vahid Parvaneh
机构
[1] Islamic Azad University,Department of Mathematics, Bonab Branch
[2] China Medical University (Taiwan),Department of Medical Research, China Medical University Hospital
[3] Aligarh Muslim University,Department of Mathematics
[4] Asia University,Department of Computer Science and Information Engineering
[5] Islamic Azad University,Department of Mathematics, Gilan
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关键词
Fixed point theorem; Measure of noncompactness; Condensing operator; Differential equation; Primary 47H08; 47H10;
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摘要
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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