A system of multi-valued generalized order complementarity problems in ordered metric spaces (Q1432739)
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scientific article; zbMATH DE number 2075230
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A system of multi-valued generalized order complementarity problems in ordered metric spaces |
scientific article; zbMATH DE number 2075230 |
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A system of multi-valued generalized order complementarity problems in ordered metric spaces (English)
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15 June 2004
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The order complementarity problem, an extension of the classical complementarity problem, became increasingly important for its possible applications to economics, mechanics, electrical engineering, game theory, optimization, etc. Following the ideas of Isac and Kostreva, who considered a class of multi-valued generalized order complementarity problems and proved existence results for this class, recently, the first two authors obtained some extensions of these results. This paper presents some further findings in the same topic. For obtaining these results, the authors proved and used some new fixed point theorems in ordered metric spaces.
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multi-valued generalized order complementarity problems
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fixed point theorems
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multi-valued increasing-type mappings
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multi-valued decreasing mappings
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ordered metric spaces
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