Author/Authors :
Allahyari, Reza Department of Mathematics - Mashhad Branch - Islamic Azad University, Mashhad , Arab, Reza Department of Mathematics - Sari Branch - Islamic Azad University, Sari , Shole Haghighi, Ali Department of Mathematics - Sari Branch - Islamic Azad University, Sari
Abstract :
In this paper we apply the technique of measures of noncompactness to the theory of innite system of
integral equations in the Frechet spaces. Our aim is to provide a few generalization of Tychonoff fixed
point theorem and prove the existence of solutions for innite systems of nonlinear integral equations
with help of the technique of measures of noncompactness and a generalization of Tychonoff fixed
point theorem. Also, we present an example of nonlinear integral equations to show the effciency of
our results. Our results extend several comparable results obtained in the previous literature.
