We provide sufficient conditions for the convergence of inexact Newton methods to a solution of a nonlinear equation in a Banach space. Earlier results have used conditions on the first Fr&het-derivative. Our results differ from earlier results in that we use Lipschitz conditions on the second Fr&~h
✦ LIBER ✦
A Fréchet derivative-free cubically convergent method for set-valued maps
✍ Scribed by Ioannis K. Argyros; Saïd Hilout
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 325 KB
- Volume
- 48
- Category
- Article
- ISSN
- 1017-1398
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In this paper, we propose two derivative-free iterative methods for solving nonlinear monotone equations, which combines two modified HS methods with the projection method in Solodov and Svaiter (1998) . The proposed methods can be applied to solve nonsmooth equations. They are suitable to large-sca