MMN-2268
Infinite systems of integral equations in Fr\'{e}chet spaces using the notion of L-functions
Mohsen Hosseinzadeh Moghaddam; Reza Allahyari; Mohsen Erfanian Omidvar; Mahmoud Hassani;Abstract
The aim of this paper is to prove some fixed point theorems for L-functions with the help of measure of
noncompactness and the Tychonoff fixed point theorem. Also, we
prove some existence theorems for a general infinite system of integral equations. As an application, we study the problem of the existence of solutions for
infinite systems of nonlinear integral equations of
Hammerstein type in two variables. The results obtained extend several ones. Finally, an example is presented to guarantee our results.
Vol. 19 (2018), No. 1, pp. 365-383
DOI: 10.18514/MMN.2018.2268