On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation

In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equations and extension of this type of integral equations. The result is obtained by using the coupled fixed point theorems in the framework of Banach space X=C([a,b],\mathbb{R}). Finally, we give an example to illustrate the applications of our results.

Keywords:

Integral equation , partially ordered set , Coupled fixed point , Mixed monotone property