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Optimal Control of Generalized Quasi-Variational Hemivariational Inequalities and Its Applications

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Abstract

The purpose of this paper is to study optimal control of generalized quasi-variational hemivariational inequalities involving multivalued mapping. Under some suitable conditions, we give existence results of the optimal control. We also consider the convergence behavior of the optimal control when the data for the underlying quasi-variational hemivariational inequalities is contaminated by some noise. In the last section, we give an example to illustrate our main results.

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Acknowledgments

Project supported by NNSF of China Grant Nos. 11271087, 61263006 and NSF of Guangxi Grant No. 2014GXNSFDA118002, the Innovation Project of Guangxi University for Nationalities No. gxun-chx2014098.

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Authors and Affiliations

  1. Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, and College of Sciences, Guangxi University for Nationalities, Nanning, 530006, Guangxi, People’s Republic of China

    Zhenhai Liu & Biao Zeng

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  1. Zhenhai Liu
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  2. Biao Zeng
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Correspondence to Zhenhai Liu.

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Liu, Z., Zeng, B. Optimal Control of Generalized Quasi-Variational Hemivariational Inequalities and Its Applications. Appl Math Optim 72, 305–323 (2015). https://doi.org/10.1007/s00245-014-9281-1

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