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Zbl 0937.49003
Daniilidis, Aris; Hadjisavvas, Nicolas
Coercivity conditions and variational inequalities. (English)
[J] Math. Program. 86, No.2 (A), 433-438 (1999). ISSN 0025-5610; ISSN 1436-4646/e

Summary: Various coercivity conditions appear in the literature in order to guarantee solutions for the variational inequality problem. We show that these conditions are equivalent to each other and that they are not only sufficient, but also necessary for the set of solutions to be non-empty and bounded.
MSC 2000:
*49J40 Variational methods including variational inequalities

Keywords: variational inequalities; pseudomonotonicity; coercivity

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