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On the Local Convergence of Two-Step Newton Type Method in Banach Spaces Under Generalized Lipschitz Conditions
2021
Mathematics
The motive of this paper is to discuss the local convergence of a two-step Newton-type method of convergence rate three for solving nonlinear equations in Banach spaces. It is assumed that the first order derivative of nonlinear operator satisfies the generalized Lipschitz i.e., L-average condition. Also, some results on convergence of the same method in Banach spaces are established under the assumption that the derivative of the operators satisfies the radius or center Lipschitz condition
doi:10.3390/math9060669
fatcat:2g47wt55ebe7ndnq3ppuqvlc5u