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Continuity of the solution mappings to parametric generalized strong vector equilibrium problems

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Abstract

In this paper, we establish the upper semicontinuity and lower semicontinuity of solution mappings to a parametric generalized strong vector equilibrium problem with setvalued mappings by using a scalarization method and a density result. The results improve the corresponding ones in the literature. Some examples are given to illustrate our results.

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Authors and Affiliations

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

    S. J. Li, H. M. Liu, Y. Zhang & Z. M. Fang

  2. College of Economics and Business Administration, Chongqing University, Chongqing, 400044, China

    H. M. Liu

  3. Department of Criminal Investigation, Chongqing Police College, Chongqing, 401331, China

    Z. M. Fang

Authors
  1. S. J. Li
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  2. H. M. Liu
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  3. Y. Zhang
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  4. Z. M. Fang
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Corresponding author

Correspondence to S. J. Li.

Additional information

This research was partially supported by the National Natural Science Foundation of China (Grant number: 11171362). Z. M. Fang research was supported by the Natural Science Foundation Project of CQ CSTC (Grant number: 2012jjA00033). H. M. Liu research was supported by the Fundamental Research Funds for the Central Universities (CDJXS1202 0024).

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Li, S.J., Liu, H.M., Zhang, Y. et al. Continuity of the solution mappings to parametric generalized strong vector equilibrium problems. J Glob Optim 55, 597–610 (2013). https://doi.org/10.1007/s10898-012-9985-1

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  • DOI: https://doi.org/10.1007/s10898-012-9985-1

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