A modification of the super-Halley method under mild differentiability conditions
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摘要
A new two-point iteration of order three is introduced to approximate a solution of a nonlinear operator equation in Banach spaces. Under the same assumptions as for Newton's method, we provide a result on the existence of a unique solution for the nonlinear equation, which is based on a technique consisting of a new system of recurrence relations.
论文关键词：47H17,65J15,Nonlinear equations in Banach spaces,Two-point iteration,Convergence theorem,Recurrence relations
论文评审过程：Received 18 May 1999, Available online 24 January 2000.
论文官网地址：https://doi.org/10.1016/S0377-0427(99)00348-9
