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Stability for differential mixed variational inequalities

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Abstract

In this paper, an existence theorem of Carathéodory weak solution for a differential mixed variational inequality is presented under suitable conditions. Furthermore, some upper semicontinuity and continuity results concerned with the Carathéodory weak solution set mapping for the differential mixed variational inequality are given when both the mapping and the constraint set are perturbed by two different parameters.

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Acknowledgments

The authors are grateful to the editor and the referees for their valuable comments and suggestions.

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Authors and Affiliations

  1. School of Information Technology, Jiangxi University of Finance and Economics, Nanchang, 330013, China

    Xing Wang

  2. Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, People’s Republic China

    Xing Wang, Wei Li, Xue-song Li & Nan-jing Huang

Authors
  1. Xing Wang
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  2. Wei Li
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  3. Xue-song Li
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  4. Nan-jing Huang
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Corresponding author

Correspondence to Nan-jing Huang.

Additional information

This work was supported by the National Natural Science Foundation of China (11171237) and the Key Program of NSFC (Grant No. 70831005).

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Wang, X., Li, W., Li, Xs. et al. Stability for differential mixed variational inequalities. Optim Lett 8, 1873–1887 (2014). https://doi.org/10.1007/s11590-013-0682-x

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  • DOI: https://doi.org/10.1007/s11590-013-0682-x

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