TY - JOUR AU - Parvaneh, Vahid AU - Khorshidi, Maryam AU - De La Sen, Manuel AU - Işık, Hüseyin AU - Mursaleen, Mohammad PY - 2020 DA - 2020/05/27 TI - Measure of noncompactness and a generalized Darbo’s fixed point theorem and its applications to a system of integral equations JO - Advances in Difference Equations SP - 243 VL - 2020 IS - 1 AB - 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. SN - 1687-1847 UR - https://doi.org/10.1186/s13662-020-02703-z DO - 10.1186/s13662-020-02703-z ID - Parvaneh2020 ER -