Existence of solutions for a generalized vector quasivariational inequality |
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| Authors: | G. Y. Chen S. J. Li |
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| Affiliation: | (1) Institute of Systems Science, Academia Sinica, Beijing, China;(2) Chongqing Architecture and Engineering Institute, Chongqing, China |
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| 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.This research was supported by the National Nature Science Foundation of China. |
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| Keywords: | Minimax inequalities generalized vector quasivariational inequalities minimal points maximal points section theorem |
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