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Browder-Tikhonov regularization for a class of evolution second order hemivariational inequalities

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Abstract

In this paper, we consider a class of evolution second order hemivariational inequalities with non-coercive operators which are assumed to be known approximately. Using the so-called Browder-Tikhonov regularization method, we prove that the regularized evolution hemivariational inequality problem is solvable. We construct a sequence based on the solvability of the regularized evolution hemivariational inequality problem and show that every weak cluster of this sequence is a solution for the evolution second order hemivariational inequality.

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Authors and Affiliations

  1. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, People’s Republic of China

    Yi-bin Xiao

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

    Yi-bin Xiao & Nan-jing Huang

Authors
  1. Yi-bin Xiao
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  2. 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 (10671135) and Specialized Research Fund for the Doctoral Program of Higher Education (20060610005).

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Xiao, Yb., Huang, Nj. Browder-Tikhonov regularization for a class of evolution second order hemivariational inequalities. J Glob Optim 45, 371–388 (2009). https://doi.org/10.1007/s10898-008-9380-0

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  • DOI: https://doi.org/10.1007/s10898-008-9380-0

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