Document Type : Research Paper

Authors

• Manouchehr Kazemi
• Reza Ezzati

Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

Abstract

In this paper, we study the existence of solutions of some nonlinear Volterra integral equations by using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. We also present some examples of the integral equation to confirm the efficiency of our results.

Keywords

• Nonlinear integral equations
• Existence of solution
• Measures of noncompactness
• Petryshyn's fixed point theorem