Open Access
2007 CONVERGENCE CRITERION AND CONVERGENCE BALL OF THE KING-WERNER METHOD UNDER THE RADIUS LIPSCHITZ CONDITION
Xintao Ye, Chong Li, Liying Hou Hou
Taiwanese J. Math. 11(1): 239-253 (2007). DOI: 10.11650/twjm/1500404649

Abstract

The convergence of the King-Werner method for finding zeros of nonlinear operators is analyzed. Under the hypothesis that the derivative of $f$ satisfies the radius Lipschitz condition with $L$-average, the convergence criterion and the convergence ball for the King-Werner method are given. Applying the results to some particular functions $L(u)$, we get the convergence theorems in [7] and [1] as well as some new results.

Citation

Download Citation

Xintao Ye. Chong Li. Liying Hou Hou. "CONVERGENCE CRITERION AND CONVERGENCE BALL OF THE KING-WERNER METHOD UNDER THE RADIUS LIPSCHITZ CONDITION." Taiwanese J. Math. 11 (1) 239 - 253, 2007. https://doi.org/10.11650/twjm/1500404649

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1152.65065
MathSciNet: MR2304019
Digital Object Identifier: 10.11650/twjm/1500404649

Subjects:
Primary: 65H10

Keywords: convergence ball , King-Werner method , nonlinear operator equation

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 1 • 2007
Back to Top