Generalized Gap Functions and Error Bounds for Generalized Variational Inequalities

HU Yan-hong; SONG Wen

Volume 30 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(3): 301-308

HU Yan-hong, SONG Wen. Generalized Gap Functions and Error Bounds for Generalized Variational Inequalities[J]. Applied Mathematics and Mechanics, 2009, 30(3): 301-308.

Citation:

HU Yan-hong, SONG Wen. Generalized Gap Functions and Error Bounds for Generalized Variational Inequalities[J]. Applied Mathematics and Mechanics, 2009, 30(3): 301-308.

Citation:

HU Yan-hong, SONG Wen. Generalized Gap Functions and Error Bounds for Generalized Variational Inequalities[J]. Applied Mathematics and Mechanics, 2009, 30(3): 301-308.

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Generalized Gap Functions and Error Bounds for Generalized Variational Inequalities

HU Yan-hong^1,2,
SONG Wen^1,2

1.
Department of Mathematics, Northeast Normal University, Changchun 130024, P. R. China;

Received Date: 2008-08-18
Rev Recd Date: 2008-12-15
Publish Date: 2009-03-15

Abstract

Abstract

Some classes of generalized gap functions for two kinds of generalized variational inequality problems are considered. Error bounds for the underlying variational inequalities by using the generalized gap functions under the condition that the involved mapping F is gstrongly monotone with respect to the solution were obtained. It is not necessary to suppcsethat Fis continuously differential nor of local Lipschitz. with respect to the solution were obtained. It is not necessary to suppose that Fis continuously differentiable local Lipschitz.
- variational inequality,
- gap functions,
- error bounds

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References

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