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Well-posedness under relaxed semicontinuity for bilevel equilibrium and optimization problems with equilibrium constraints - MaRDI portal

Well-posedness under relaxed semicontinuity for bilevel equilibrium and optimization problems with equilibrium constraints (Q415405)

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scientific article; zbMATH DE number 6031749
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English
Well-posedness under relaxed semicontinuity for bilevel equilibrium and optimization problems with equilibrium constraints
scientific article; zbMATH DE number 6031749

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    Well-posedness under relaxed semicontinuity for bilevel equilibrium and optimization problems with equilibrium constraints (English)
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    8 May 2012
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    In the paper, the authors first consider equilibrium problems with equilibrium constraints in a topological space setting. By using special continuity properties they establish sufficient conditions for well-posedness of these problems. The results are adjusted for metric settings. Further, they are applied for obtaining well-posedness conditions for optimization problems with equilibrium constraints.
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    Bilevel equilibrium problems
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    bilevel optimization problems
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    equilibrium constraints
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    well-posedness
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    sufficient conditions
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