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Zbl 0848.49012
Yu, S.J.; Yao, J.C.
On vector variational inequalities. (English)
[J] J. Optimization Theory Appl. 89, No.3, 749-769 (1996). ISSN 0022-3239; ISSN 1573-2878/e

Summary: The concept of weakly $C$-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 weakly $C$-pseudomonotone operators in a Banach space are obtained.

MSC 2000:: *49J40 Variational methods including variational inequalities
47H05 Monotone operators (with respect to duality)

Keywords: weakly $v$-coercive conditions; generalized $L$-condition; vector variational inequalities; monotone operators; vector complementarity problem; weakly $C$-pseudomonotone operators

Cited in: Zbl 1160.47325 Zbl 0971.90097 Zbl 0886.49008

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