Convergence Behavior for Newton-Steffensen’s Method under -Condition of Second Derivative

The present paper is concerned with the semilocal as well as the local convergence problems of Newton-Steffensen’s method to solve nonlinear operator equations in Banach spaces. Under the assumption that the second derivative of the operator satisfies -condition, the convergence criterion and conver...

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Bibliographic Details
Main Authors: Yonghui Ling, Xiubin Xu, Shaohua Yu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/682167