%0 Journal Article
%T Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Allahyari, Reza
%A Aghajani, Asadollah
%D 2017
%\ 06/13/2017
%V 8
%N 1
%P 337-351
%! Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
%K Measure of noncompactness
%K Quadratic integral equation
%K Darbo fixed point theorem
%R 10.22075/ijnaa.2017.1355.1334
%X 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.
%U https://ijnaa.semnan.ac.ir/article_2516_53794ed15760aa0136631bfa489ca584.pdf