- PII
- S042473880000616-6-1
- DOI
- 10.7868/S0000616-6-1
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume / Issue №3
- Pages
- 117-127
- Abstract
- The connection between solving variational inequality and finding the fixed element of the point to set mapping from convex compact to itself is established. Examples of variational inequalities relating to the convex optimization, convex antagonistic game, convex many person non-coalition game, the problem to find equilibrium prices are given. We describe an iterative method of the Oracle type for solving variational inequality defined by the monotone mapping under Oracle mistakes. We set the requirement to Oracle mistakes which guarantee to find ε-solution to variation inequality (with given ε > 0). The upper-bound for number of iterations necessary for calculating ε-solution to variation inequality is obtained.
- Keywords
- Date of publication
- 01.07.2008
- Year of publication
- 2008
- Number of purchasers
- 2
- Views
- 838
RAS Social ScienceЭкономика и математические методы Economics and the Mathematical Methods
- ISSN (Print) 0424-7388
- ISSN (Online) 3034-6177
METHOD FOR SOLVING VARIATION INEQUALITIES USING INACCURATE INITIAL DATA
Индексирование
Scopus
Crossref
Higher Attestation Commission
At the Ministry of Education and Science of the Russian Federation
Scientific Electronic Library