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Optimization Letters

, Volume 8, Issue 3, pp 877–887 | Cite as

Tikhonov regularization methods for inverse variational inequalities

  • Xue-ping Luo
Original Paper

Abstract

The purpose of this paper is to study Tikhonov regularization methods for inverse variational inequalities. A rather weak coercivity condition is given which guarantees that the solution set of regularized inverse variational inequality is nonempty and bounded. Moreover, the perturbation analysis for the solution set of regularized inverse variational inequality is established. As an application, we show that solutions of regularized inverse variational inequalities form a minimizing sequence of the D-gap function under a mild condition.

Keywords

Inverse variational inequalities Tikhonov regularization methods Coercivity conditions Minimizing sequences 

Notes

Acknowledgments

This work was supported by the National Natural Science Foundation of China (11226232), the Doctoral Innovation Fund for Young Teacher of the Central Universities (12NZYBS04) and the Science Research Fund for the Central Universities (11NPT02)

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.College of Computer Science and TechnologySouthwest University for NationalitiesChengduPeople’s Republic of China

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