- Tytuł:
- Interior proximal method for variational inequalities on non-polyhedral sets
- Autorzy:
-
Kaplan, Alexander
Tichatschke, Rainer - Powiązania:
- https://bibliotekanauki.pl/articles/729433.pdf
- Data publikacji:
- 2007
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
variational inequalities
Bregman function
proximal algorithm - Opis:
- Interior proximal methods for variational inequalities are, in fact, designed to handle problems on polyhedral convex sets or balls, only. Using a slightly modified concept of Bregman functions, we suggest an interior proximal method for solving variational inequalities (with maximal monotone operators) on convex, in general non-polyhedral sets, including in particular the case in which the set is described by a system of linear as well as strictly convex constraints. The convergence analysis of the method studied admits the use of the -enlargement of the operator and an inexact solution of the subproblems.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 1; 71-93
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł