Document Type: Research Paper
Department of Mathematics, Mashhad Branch, Islamic Azad University,mashhad, Iran
School of Mathematics, Iran University of Science and Technology, Narmark, Tehran 16846 13114, Iran
In 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.