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Error analysis of approximate solutions to parametric vector quasiequilibrium problems

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Abstract

In this paper, we give some results on error estimates of approximate solutions to parametric vector quasiequilibrium problems in metric linear spaces. Under some special cases, the error estimates are equivalent to Hölder stability or Lipschitz stability of the set-valued solution map at a given point. An application to variational inequalities is also presented.

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Authors and Affiliations

  1. College of Mathematics and Science, Chongqing University, Chongqing, 400030, China

    C. R. Chen, S. J. Li, J. Zeng & X. B. Li

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  1. C. R. Chen
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  2. S. J. Li
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  3. J. Zeng
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  4. X. B. Li
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Correspondence to C. R. Chen.

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Chen, C.R., Li, S.J., Zeng, J. et al. Error analysis of approximate solutions to parametric vector quasiequilibrium problems. Optim Lett 5, 85–98 (2011). https://doi.org/10.1007/s11590-010-0192-z

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  • DOI: https://doi.org/10.1007/s11590-010-0192-z

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