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Huang, X. X.; Yang, X. Q.; Zhu, D. L.

Levitin-Polyak well-posedness of variational inequality problems with functional constraints. (English) Zbl 1191.90083

J. Glob. Optim. 44, No. 2, 159-174 (2009).
Summary: We introduce several types of (generalized) Levitin-Polyak well-posednesses for a variational inequality problem with abstract and functional constraints. Criteria and characterizations for these types of well-posednesses are given. Relations among these types of well-posednesses are also investigated.

Cited in 40 Documents

MSC:

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

Keywords:

constrained variational inequality; approximating solution sequence; (generalized) Levitin-Polyak well-posedness; monotone operator; coercivity
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\textit{X. X. Huang} et al., J. Glob. Optim. 44, No. 2, 159--174 (2009; Zbl 1191.90083)
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