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Zbl 0866.49016
Lee, Gue Myung; Lee, Byung Soo; Chang, Shihsen
On vector quasivariational inequalities.
(English)
[J] J. Math. Anal. Appl. 203, No.3, 626-638 (1996). ISSN 0022-247X

This paper establishes existence properties for vector quasivariational inequalities and vector quasivariational-like inequalities. The main tool used is that a compact acyclic map defined on a convex set has a fixed point. Relations with vector optimization problems are given.
[X.Q.Yang (Nedlands)]
MSC 2000:
*49J40 Variational methods including variational inequalities
90C29 Multi-objective programming, etc.

Keywords: multifunction; vector quasivariational inequality; vector optimization problem

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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