on gap functions for quasi-variational inequalities
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ID: 192847
2008
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Abstract
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.
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taji2008abstracton
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| Authors | ;Kouichi Taji |
| Journal | science and technology of advanced materials |
| Year | 2008 |
| DOI |
10.1155/2008/531361
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