Picard iterations for solution of nonlinear equations in certain Banach spaces (Q1570200)
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: Picard iterations for solution of nonlinear equations in certain Banach spaces |
scientific article; zbMATH DE number 1471617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Picard iterations for solution of nonlinear equations in certain Banach spaces |
scientific article; zbMATH DE number 1471617 |
Statements
Picard iterations for solution of nonlinear equations in certain Banach spaces (English)
0 references
4 April 2001
0 references
Let \(A:E\supset D(A)\rightarrow E\) be locally Liptschitzian strongly quasi-accretive nonlinear operator in a real uniformly smooth Banach space \(E\). It is proved that Picard iterations strongly converge to the unique solution of the equation \(Ax=f\) with the rate at least a geometric progression.
0 references
locally Liptschitzian quasi-accretive operators
0 references
Picard iterations
0 references
strong convergence
0 references
0 references
0 references
0 references
0 references
0 references
