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Levitin-Polyak well-posedness for equilibrium problems with functional constraints. (English) Zbl 1211.90286

Summary: We generalize the notions of Levitin-Polyak well-posedness to an equilibrium problem with both abstract and functional constraints. We introduce several types of (generalized) Levitin-Polyak well-posedness. Some metric characterizations and sufficient conditions for these types of well-posedness are obtained. Some relations among these types of well-posedness are also established under some suitable conditions.

MSC:

90C48 Programming in abstract spaces
46N10 Applications of functional analysis in optimization, convex analysis, mathematical programming, economics
49K40 Sensitivity, stability, well-posedness
90C31 Sensitivity, stability, parametric optimization
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