Existence and stability of solutions for generalized ky Fan inequality problems with trifunctions (Q604258)
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scientific article; zbMATH DE number 5814302
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and stability of solutions for generalized ky Fan inequality problems with trifunctions |
scientific article; zbMATH DE number 5814302 |
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Existence and stability of solutions for generalized ky Fan inequality problems with trifunctions (English)
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10 November 2010
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An existence theorem is given for solutions to a generalized Ky Fan inequality formulated over locally convex Hausdorff topological linear spaces. The theorem is obtained by applying the Kakutani-Fan-Glicksberg fixed-point theorem without imposing the condition that the dual of the ordering cone has a weak* compact base. Several applications of the existence theorem and a stability result for the solution set are also given.
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generalized Ky Fan inequality
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fixed-point theorem
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