Document Zbl 0937.49003

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Coercivity conditions and variational inequalities. (English) Zbl 0937.49003

Math. Program. 86, No. 2 (A), 433-438 (1999).

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.

Cited in 57 Documents

MSC:

49J40

Variational inequalities

Keywords:

variational inequalities; pseudomonotonicity; coercivity

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