Abstract
In the present paper, we investigate the construction of compact sets of bounded continuous functions on unbounded set \({\Omega}\) of \({\mathbb{R}^n}\), and then introduce a measure of noncompactness on this space. As an application, we study the existence of solutions for a class of nonlinear functional integral equations of Volterra type by using some fixed point theorems associated with this new measure of noncompactness. Obtained results generalize numerous other ones. We will also include some examples which show that our results are applicable where the previous ones are not.
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