On solvability of infinite systems of integral equations of Volterra together with Hammerstein type in the Frechet spaces

Abstract

In this paper, we prove some fixed point theorems associated with Tychonoff fixed point theorem and measure of noncompactness in the Frechet spaces. Moreover, as an application of our results, we analyze
the existence of solutions for infinite systems of integral equations of Volterra together with the Hammerstein
type. Finally, we present an example to illustrate the effectiveness of our results