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Some Convergence Results for Evolution Hemivariational Inequalities

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Abstract

This paper is devoted to the regularization of a class of evolution hemivariational inequalities. The operator involved is taken to be non-coercive and the data are assumed to be known approximately. Under the assumption that the evolution hemivariational inequality be solvable, a weakly convergent approximation procedure is designed by means of the so-called Browder-Tikhonov regularization method.

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References

  • Carl, S. (1996), Enclosure of solutions for quasilinear hemivariational parabolic problems, Nonlinear World, 3, 281–298.

    Google Scholar 

  • Clarke, F.H. (1983), Optimization and Nonsmooth Analysis, Wiley, New York.

    Google Scholar 

  • Giannessi F. and Khan A.A. (2000), Regularization of non-coercive quasi variational inequalities, Control and Cybernetics, 29(1), 1–20.

    Google Scholar 

  • Isac, G. (1993), Tikhonov regularization and the complementarity problem in Hilbert spaces, Journal of Mathematical Analysis and Applications, 174, 53–66.

    Article  Google Scholar 

  • Liu Zhenhai (1999), A class of evolution hemivariational inequalities, Nonlinear Analysis, 36, 91–100.

    Article  Google Scholar 

  • Liu Zhenhai and Simon L. (2001), Existence results for evolution hemivariational inequalities, Advances in Mathematics, 30(1), 47–55.

    Google Scholar 

  • Liu Zhenhai and Zhang Shisheng (1998), On the degree theory for multivalued S+ type mappings, Applied Mathematics and Mechanics, 19, 1141–1149.

    Google Scholar 

  • Miettinen, M. and Panagiotopoulos P.D. (1999), On parabolic hemivariational inequalities and applications, Nonlinear Analysis, 35, 885–915.

    Article  Google Scholar 

  • Migórski S. (2000), Existence andconvergence results for evolution hemivariational inequalities, Topological Methods in Nonlinear Analysis, 16, 125–144.

    Google Scholar 

  • Naniewicz, Z. and Panagiotopoulos, P.D. (1995), Mathematical Theory of Hemivariational Inequalities and Applications, Marcel Dekker, New York.

    Google Scholar 

  • Zeidler, E. (1990), Nonlinear Functional Analysis and its Applications, IIA and IIB, Springer, New York.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Changsha University of Science & Technology, Changsha, Hunan, 410077, People's Republic of China (e-mail

    Zhenhai Liu

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  1. Zhenhai Liu
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Liu, Z. Some Convergence Results for Evolution Hemivariational Inequalities. Journal of Global Optimization 29, 85–95 (2004). https://doi.org/10.1023/B:JOGO.0000035017.75703.7c

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  • DOI: https://doi.org/10.1023/B:JOGO.0000035017.75703.7c

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