Abstract
The paper deals with a generalization of a vector quasivariational inequality. An existence theorem for its solutions is established; it is based on a kind of minimax inequality, which is here established for continuous affine mappings and differs from previous results. Fan's section theorem for set-valued mappings is extended. An application for an equilibrium problem of a network with vector-valued cost functions is given.
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Communicated by F. Giannessi
This research was supported by the National Nature Science Foundation of China.
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Chen, G.Y., Li, S.J. Existence of solutions for a generalized vector quasivariational inequality. J Optim Theory Appl 90, 321–334 (1996). https://doi.org/10.1007/BF02190001
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DOI: https://doi.org/10.1007/BF02190001