We introduce an extension of Darbo’s fixed point theorem via a measure of noncompactness in a Banach space. By using our extension we study the existence of a solution for a system of nonlinear integral equations, which is an extended result of (Aghajani and Haghighi in Novi Sad J. Math. 44(1):59–73, 2014). We give an example to show the specified existence results.

中文翻译：

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一类非线性积分方程组的Darbo不动点定理的扩展

我们通过对Banach空间中非紧致性的度量来介绍Darbo不动点定理的扩展。通过使用扩展，我们研究了非线性积分方程组解的存在，这是（Aghajani和Haghighi在Novi Sad J. Math。44（1）：59–73，2014）中得到的扩展结果。我们举一个例子来说明指定的存在结果。