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

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Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Islamic Azad University

Erişim Hakkı

info:eu-repo/semantics/embargoedAccess

Özet

In 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.

Açıklama

Anahtar Kelimeler

Iterative Algorithm, Contraction Principle, Volterra Integral Equation, Convergence, Data Dependence

Kaynak

Journal of Mathematical Extension

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

17

Sayı

6

Künye