Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 1 2015 03 01 On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation 62 68 179 10.22075/ijnaa.2015.179 EN S. Moradi Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran. M. Mohammadi Anjedani Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran. E. Analoei Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran. Journal Article 2013 06 13 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. Integral equation partially ordered set Coupled fixed point Mixed monotone property https://ijnaa.semnan.ac.ir/article_179_3caf831dc6329976c3a29154fb3b2013.pdf