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Unicity of the solutions of infinite linear inequality systems - MaRDI portal

Unicity of the solutions of infinite linear inequality systems (Q2762943)

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scientific article; zbMATH DE number 1689795
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English
Unicity of the solutions of infinite linear inequality systems
scientific article; zbMATH DE number 1689795

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    16 January 2002
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    inequality system
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    index set
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    feasible set
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    Unicity of the solutions of infinite linear inequality systems (English)
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    An infinite system of linear inequalities is considered. A necessary and sufficient condition is proved in the case of removing the topological structure of the index set \(T\) and continuity of the mappings \(a\) and \(b\). Moreover, the authors give a necessary and sufficient condition without any additional hypothesis on \(a\) and \(b\). Several examples are presented as well.
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