Item Infomation


Title: 
Kurchatov-type methods for non-differentiable Hammerstein-type integral equations
Authors: 
M.A., Hernández-Verón
Nisha, Yadav
Eulalia, Martínez
Issue Date: 
2022
Publisher: 
Springer
Abstract: 
We consider a generic type of nonlinear Hammerstein-type integral equations with the particularity of having non-differentiable kernel of Nemystkii type. So, in order to solve it we consider a uniparametric family of iterative processes derivative free, with the main advantage that for a special value of the involved parameter the iterative method obtained coincides with Newton’s method, that is due to the fact of evaluating the divided difference operator when the two values are the same. We perform a qualitative convergence study by choosing an auxiliary point, that allow us to obtain the existence and separation of solutions of the given equation, that is, local and semilocal convergence balls can be obtained.
Description: 
CC BY
URI: 
https://link.springer.com/article/10.1007/s11075-022-01406-8
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8323
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