Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem

نویسندگان
Kazemi, Manouchehr ID 1
Ezzati, Reza ID 2

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

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

doi
10.22075/ijnaa.2017.1394.1352
چکیده

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.

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