文章基本信息

标题：Measure of noncompactness and a generalized Darbo’s fixed point theorem and its applications to a system of integral equations
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作者：Vahid Parvaneh ; Maryam Khorshidi ; Manuel De La Sen 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-13
DOI：10.1186/s13662-020-02703-z
出版社：Hindawi Publishing Corporation
摘要：Işık et al. (Mathematics 7:862, 2019) presented an interesting generalization of the Banach contraction principle. In this paper, motivated by Işık et al., we give a new extension of the well-known Darbo inequality in a Banach space. Our results provide several generalizations of the Darbo inequality. As an application, we study the existence of solutions for a system of functional integral equations in $C[0,T]$. Finally, we expose a genuine example to support the effectiveness of our results.