On existence of solutions for some functional integral equations in Banach algebra by fixed point theorem

Document Type : Research Paper


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


In this research, we analyze the existence of solution for some nonlinear functional integral equations using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in
Banach space. The results obtained in this paper cover many existence results obtained by numerous
authors under some weaker conditions. We also give an example satisfying the conditions of our main
theorem but not satisfying the conditions described by other authors.