학술논문
Convergence analysis for the King-Werner method under γ-conditions
Document Type
Original Paper
Author
Source
Journal of Applied Mathematics and Computing. 68(6):4605-4620
Subject
Language
English
ISSN
1598-5865
1865-2085
1865-2085
Abstract
The purpose of this paper is to study a semilocal convergence result for the King-Werner iterative method in Banach space setting under a gamma-type condition. The convergence of the method is established under weaker conditions than those used in previous works; we only use hypotheses up to the second Fréchet derivative of the involved operator. In addition, we illustrate the applicability of our result with some numerical examples.