A New Note on Convergence and Data Dependence Concept for a Volterra Integral Equation by Fixed Point Iterative Algorithm

Atalan, YunusMaldar, S.2024-05-022024-05-0220231735-829910.30495/JME.2023.250810.30495/JME.2023.2508https://hdl.handle.net/20.500.12451/11746In this paper, we prove that a three-step iterative algorithm converges strongly to the solution of a functional Volterra integral equation of the second kind. We also show the solution presented in the convergence theorem can obtain by removing a strong restriction imposed on the control sequence. Finally, we analyse the data-dependence result by using this iterative algorithm, and to support obtained result we give an example.eninfo:eu-repo/semantics/embargoedAccessIterative AlgorithmContraction PrincipleVolterra Integral EquationConvergenceData DependenceA New Note on Convergence and Data Dependence Concept for a Volterra Integral Equation by Fixed Point Iterative AlgorithmArticle17610.30495/JME.2023.2508N/A