On vector variational inequalities
- Cite this article as:
- Yu, S.J. & Yao, J.C. J Optim Theory Appl (1996) 89: 749. doi:10.1007/BF02275358
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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.