General algorithm for nonlinear variational-like inequalities in reflexive Banach spaces (Q1390143)
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: General algorithm for nonlinear variational-like inequalities in reflexive Banach spaces |
scientific article; zbMATH DE number 1174919
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General algorithm for nonlinear variational-like inequalities in reflexive Banach spaces |
scientific article; zbMATH DE number 1174919 |
Statements
General algorithm for nonlinear variational-like inequalities in reflexive Banach spaces (English)
0 references
8 March 1999
0 references
The author studies a class of general nonlinear variational-like inequalities in reflexive Banach spaces. In particular, by using a minimax inequality that he had obtained earlier, he is able to prove in this paper very interesting existence and uniqueness theorems for solutions of the general nonlinear variational-like inequalities. He extends the auxiliary principle technique in a reflexive Banach space setting in order to compute the approximate solutions of the general nonlinear variational-like inequalities. The paper concludes with some very well presented convergence criteria.
0 references
algorithm
0 references
minimax inequality
0 references
reflexive Banach spaces
0 references
variational-like inequalities
0 references
auxiliary principle technique
0 references
