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Continuity of approximate solution mappings for parametric equilibrium problems

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Abstract

In this paper, we obtain sufficient conditions for Hausdorff continuity and Berge continuity of an approximate solution mapping for a parametric scalar equilibrium problem. By using a scalarization method, we also discuss the Berge lower semicontinuity and Berge continuity of a approximate solution mapping for a parametric vector equilibrium problem.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Chongqing University, 401331, Chongqing, China

    X. B. Li & S. J. Li

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  1. X. B. Li
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  2. S. J. Li
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Correspondence to S. J. Li.

Additional information

This research was partially supported by the National Natural Science Foundation of China (Grant number: 10871216), the Fundamental Research Funds for the Central Universities (Project number: CDJXS10 10 11 05) and Innovative Talent Training Project, the Third Stage of “211 Project”, Chongqing University (Project number: S-09110).

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Li, X.B., Li, S.J. Continuity of approximate solution mappings for parametric equilibrium problems. J Glob Optim 51, 541–548 (2011). https://doi.org/10.1007/s10898-010-9641-6

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  • DOI: https://doi.org/10.1007/s10898-010-9641-6

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