REFE-acceptable mappings: Necessary and sufficient condition for the nonexistence of a regular exceptional family of elements (Q933823)
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scientific article; zbMATH DE number 5304085
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | REFE-acceptable mappings: Necessary and sufficient condition for the nonexistence of a regular exceptional family of elements |
scientific article; zbMATH DE number 5304085 |
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REFE-acceptable mappings: Necessary and sufficient condition for the nonexistence of a regular exceptional family of elements (English)
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25 July 2008
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The authors consider the nonlinear complementarity problem (NCP) on Hilbert spaces, and introduce the class of (Regular Exceptional Family of Elements) REFE-acceptable functions as a mapping defined on a closed convex cone for which NCP has a solution or a REFE. Several instances of REFE-acceptable mappings are provided. In addition a necessary and sufficient condition for the non existence of REFE is established.
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REFE-acceptable mappings
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Regular exceptional family of elements
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Nonlinear complementarity problems
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