Hyers Ulam Stability and Solutions for a Class of Nonlinear Integral Equations by Fixed Point Technique

Abstract

Our intention of this paper is to prove the existence, uniqueness and stability of solution for some nonlinear functional-integral equations by using generalized tripled Lipschitz condition. We also prove a fixed point theorem to obtain the mentioned aim in Banach space $X = C([a,b],\mathbb{R})$. As application we study some Volterra integral equations with linear, non-linear and single kernel.