Quasi-P\(_*\)-maps, P(\(\tau,\alpha,\beta\))-maps, exceptional family of elements, and complementarity problems (Q1579642)
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scientific article; zbMATH DE number 1506904
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-P\(_*\)-maps, P(\(\tau,\alpha,\beta\))-maps, exceptional family of elements, and complementarity problems |
scientific article; zbMATH DE number 1506904 |
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Quasi-P\(_*\)-maps, P(\(\tau,\alpha,\beta\))-maps, exceptional family of elements, and complementarity problems (English)
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14 September 2000
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The authors define quasi-\(P_*\)-maps and \(P(\tau,\alpha, \beta)\)-maps for nonlinear mappings and show under a strict feasibility condition that the nonlinear complementarity problem has a solution if the function is a nonlinear quasi-\(P_*\)-map or \(P(\tau,\alpha, \beta)\)-map. Furthermore, a new existence result under an exceptional regularity condition is also established.
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nonlinear mappings
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strict feasibility
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nonlinear complementarity problem
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existence
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0.86682445
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0.85917455
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0.8571816
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0.8541891
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