On Iteration Method to The Solution of More General Volterra Integral Equation in Two Variables and a Data Dependence Result

Year 2021, Volume: 17 Issue: 3, 313 - 318, 27.09.2021

Samet Maldar

https://doi.org/10.18466/cbayarfbe.837062

Abstract

Fixed point theory is one of the most important theories and has been studied extensively by researchers in many disciplines. One of these studies is its application to integral equations. In this work, we have shown that the iteration method given in [12] converges to the solution of the more general Volterra integral equation in two variables by using Bielecki’s norm. Also, a data dependence result for the solution of this integral equation has been proven.

Keywords

convergence, data dependence, integral equation, iteration method

References

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