MMN-1697
An extension of Tychonoff fixed point theorem with application to the solvability of the infinite systems of integral equations in the Fréchet spaces
Reza Allahyari; Reza Arab; Ali Shole Haghighi;Abstract
In the present article, we introduce a new concept of contraction and prove a new type of extension of Tychonoff fixed point theorem. Then, as an application, we study the
problem of existence of solutions for the infinite systems of integral equations using the technique of measures of noncompactness in conjunction with this extension in the Frechet
spaces.
Vol. 21 (2020), No. 1, pp. 31-49