Some properties of nonlinear Volterra-Stieltjes integral operators

We study some properties of the nonlinear Volterra-Stieltjes integral operator of general form which is defined with help of the Stieltjes integral with the kernel depending on two variables. The results obtained in the paper generalize those obtained earlier for the Volterra-Stieltjes integral operators having less general form. We prove also an existence result for nonlinear integral equation of Volterra-Stieltjes type.