Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
نویسندگان
1 School of Mathematics, Iran University of Science and Technology, Narmark, Tehran 16846 13114, Iran
2 Department of Mathematics, Mashhad Branch, Islamic Azad University,mashhad, Iran
doi
10.22075/ijnaa.2017.1355.1334چکیده
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.
