TY - JOUR
ID - 2516
TI - Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Allahyari, Reza
AU - Aghajani, Asadollah
AD - Department of Mathematics, Mashhad Branch, Islamic Azad University,mashhad, Iran
AD - School of Mathematics, Iran University of Science and Technology, Narmark, Tehran 16846 13114, Iran
Y1 - 2017
PY - 2017
VL - 8
IS - 1
SP - 337
EP - 351
KW - Measure of noncompactness
KW - Quadratic integral equation
KW - Darbo fixed point theorem
DO - 10.22075/ijnaa.2017.1355.1334
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_2516.html
L1 - https://ijnaa.semnan.ac.ir/article_2516_53794ed15760aa0136631bfa489ca584.pdf
ER -