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On Gap Functions for Quasi-Variational Inequalities
Author
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-02-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
For variational inequalities, various merit functions, such as the gap function, the regularized gap function, the D-gap function and so on, have been proposed.
These functions lead to equivalent optimization formulations and are used to optimization-based methods for solving variational inequalities.
In this paper, we extend the regularized gap function and the D-gap functions for a quasi-variational inequality, which is a generalization of the variational inequality and is used to formulate generalized equilibrium problems.
These extensions are shown to formulate equivalent optimization problems for quasi-variational inequalities and are shown to be continuous and directionally differentiable.
American Psychological Association (APA)
Taji, Kouichi. 2008. On Gap Functions for Quasi-Variational Inequalities. Abstract and Applied Analysis،Vol. 2008, no. 2008, pp.1-7.
https://search.emarefa.net/detail/BIM-479163
Modern Language Association (MLA)
Taji, Kouichi. On Gap Functions for Quasi-Variational Inequalities. Abstract and Applied Analysis No. 2008 (2008), pp.1-7.
https://search.emarefa.net/detail/BIM-479163
American Medical Association (AMA)
Taji, Kouichi. On Gap Functions for Quasi-Variational Inequalities. Abstract and Applied Analysis. 2008. Vol. 2008, no. 2008, pp.1-7.
https://search.emarefa.net/detail/BIM-479163
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479163