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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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