Hölder continuity of the unique solution to quasiequilibrium problems in metric spaces (Q1029292)
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scientific article; zbMATH DE number 5577276
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hölder continuity of the unique solution to quasiequilibrium problems in metric spaces |
scientific article; zbMATH DE number 5577276 |
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Hölder continuity of the unique solution to quasiequilibrium problems in metric spaces (English)
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10 July 2009
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The authors study the local Hölder continuity of the solution sets of quasiequilibrium problems in metric spaces. The article generalizes and sharpens some results of \textit{M. Ait Mansour} and \textit{L. Scrimali} [J. Glob. Optim. 40, No.~1--3, 175--184 (2008; Zbl 1151.90008)] for Hilbert spaces. There are some applications to quasivariational inequalities, traffic network problems and quasioptimization problem (its constraints depend on the minimizer).
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quasiequilibrium problems
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quasivariational inequalities
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traffic network problems
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Hölder continuity
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Hölder monotonicity
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solution uniqueness
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0.9336508
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0.9201906
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0.91767937
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0.91333306
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0.91023946
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0.9055334
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