Abstract
In this paper, we study vector variational inequalities. The concept of weaklyC-pseudomonotone operator is introduced. By employing the Fan lemma, we establish several existence results. The new results extend and unify existence results of vector variational inequalities for monotone operators under a Banach space setting. In particular, existence results for the generalized vector complementarity problem with weaklyC-pseudomonotone operators in Banach space are obtained.
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Communicated by F. Giannessi
This research was partially supported by the National Science Council of the Republic of China under Contract NSC 84-2121-M-110-008.
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Yu, S.J., Yao, J.C. On vector variational inequalities. J Optim Theory Appl 89, 749–769 (1996). https://doi.org/10.1007/BF02275358
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DOI: https://doi.org/10.1007/BF02275358