On a functional Fredholm integral equation, via the technique of nonexpansive operators

In this paper we present one result relative to existence of solutions of the functional Fredholm integral equation with deviating argument by nonexpansive operators technique
u(x,y)=f(x,y,g(u)(x,y))+∫ab∫abK(x,y,s,t,u(s,t))dsdt, x,y∈[a,b]
u(x,y)=f(x,y,g(u)(x,y))+∫ab∫abK(x,y,s,t,u(s,t))dsdt, x,y∈[a,b]
in a subset of a Banach space.