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Zbl 0878.49006
Konnov, I.V.; Yao, J.C.
On the generalized vector variational inequality problem. (English)
[J] J. Math. Anal. Appl. 206, No.1, 42-58 (1997). ISSN 0022-247X

This paper studies vector variational inequalities with set-valued mappings. Existence results are established by applying Fan's lemma also known as KKM theorem. A generalized vector complementarity problem is also introduced.
[X.Q.Yang (Nedlands)]

MSC 2000:: *49J40 Variational methods including variational inequalities
90C33 Complementarity problems

Keywords: vector variational inequality; set-valued map; Banach space; KKM theorem; vector complementarity problem

Cited in: Zbl 1035.49005 Zbl 1023.90057

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