On Newton-like method for solving generalized nonlinear operator equations in Banach spaces (Q360959)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On Newton-like method for solving generalized nonlinear operator equations in Banach spaces |
scientific article; zbMATH DE number 6202552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Newton-like method for solving generalized nonlinear operator equations in Banach spaces |
scientific article; zbMATH DE number 6202552 |
Statements
On Newton-like method for solving generalized nonlinear operator equations in Banach spaces (English)
0 references
28 August 2013
0 references
The authors study a variant of the modified Newton method for solving operator equations in Banach spaces. The operator is assumed to be the sum of two terms: one is Gâteaux differentiable, and the other is Lipschitz continuous. The convergence of the algorithm is shown, and it is illustrated with examples in one and two variables.
0 references
Gâteaux derivative
0 references
hemicontinuity
0 references
Lipschitzian mapping
0 references
Newton method
0 references
nonlinear operator equations
0 references
