Document Type : Research Paper

Authors

• S. Moradi
• M. Mohammadi Anjedani
• E. Analoei

Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.

Abstract

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