Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Existence of solutions of system of functional-integral equations using measure of noncompactness583595484710.22075/ijnaa.2021.4847ENHemant KumarNashineDepartment of Mathematics,
School of Advanced Sciences,
Vellore Institute of Technology,
Vellore-632014, TN, INDIA0000-0002-0250-9172RezaArabDepartment of Mathematics, Sari Branch, Islamic Azad University, Sari, IranRaviAgarwalDepartment of Mathematics, Texas A \& M University - Kingsville - 78363-8202, Texas, USAJournal Article20181023We propose to investigate the solutions of system of functional-integral equations in the setting of measure of noncompactness on real-valued bounded and continuous Banach space. To achieve this, we first establish some new Darbo type fixed and coupled fixed point results for $\mu$-set $(\omega,\vartheta)$-contraction operator using arbitrary measure of noncompactness in Banach spaces. An example is given in support for the solutions of a pair of system of functional-integral equations.https://ijnaa.semnan.ac.ir/article_4847_3ef2e986f8037f28dfd9791dcb68dbd1.pdf