科研之友
微信
新浪微博
Facebook
分享链接
摘要
In this study, under p-Holder continuity conditions a family of new modified Halley's method with (2 + p)-order is proposed in Banach space which is used to solve the nonlinear operator equations. The Newton-Kantorovich convergence theorem for the family of new modified Halley's method is established under Holder continuity conditions. The error estimate also is gotten. Finally, two examples are provided to show the application of our theorem.
