Local Convergence of Two Fifth Order Algorithms with Hölder Continuity Assumptions

In order to estimate the solution of zero for nonlinear systems, we conduct local convergence investigation in this paper. contrast Lipschitz condition used preceding study, have Hölder continuity requirement. Additionally, use a derivative approximation take free iterative technique with same order. A computed radius balls based on constant is also provided. No Taylor's series higher Fréchet derivate investigation. To broaden relevance our work, comparison ball radii This highlights uniqueness