Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170613Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type337351251610.22075/ijnaa.2017.1355.1334ENRezaAllahyariDepartment of Mathematics, Mashhad Branch, Islamic Azad University,mashhad, IranAsadollahAghajaniSchool of Mathematics, Iran University of Science and Technology, Narmark, Tehran 16846 13114, IranJournal Article20160425In this brief note, using the technique of measures of noncompactness, we give some extensions of Darbo fixed point theorem. Also we prove an existence result for a quadratic integral equation of Hammerstein type on an unbounded interval in two variables which includes several classes of nonlinear integral equations of Hammerstein type. Furthermore, an example is presented to show the efficiency of our result.https://ijnaa.semnan.ac.ir/article_2516_53794ed15760aa0136631bfa489ca584.pdf