, Volume 89, Issue 3, pp 749-769

On vector variational inequalities

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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.

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.