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Konnov, I. V.; Yao, J. C.

On the generalized vector variational inequality problem. (English) Zbl 0878.49006

J. Math. Anal. Appl. 206, No. 1, 42-58 (1997).
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.
Reviewer: X.Q.Yang (Nedlands)

Cited in 2 Reviews
Cited in 104 Documents

MSC:

49J40 Variational inequalities
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)

Keywords:

vector variational inequality; set-valued map; Banach space; KKM theorem; vector complementarity problem
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\textit{I. V. Konnov} and \textit{J. C. Yao}, J. Math. Anal. Appl. 206, No. 1, 42--58 (1997; Zbl 0878.49006)
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References:

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