Class \(\mathfrak A\)-\(\text{KKM}(X, Y, Z)\), general KKM type theorems, and their applications in topological vector space (Q1722402)
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scientific article; zbMATH DE number 7021974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Class \(\mathfrak A\)-\(\text{KKM}(X, Y, Z)\), general KKM type theorems, and their applications in topological vector space |
scientific article; zbMATH DE number 7021974 |
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Class \(\mathfrak A\)-\(\text{KKM}(X, Y, Z)\), general KKM type theorems, and their applications in topological vector space (English)
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14 February 2019
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Summary: The class \(\mathfrak A\)-KKM\((X, Y, Z)\) and generalized KKM mapping are introduced, and some generalized KKM theorems are proved. As applications, Ky Fan's matching theorem and Fan-Browder fixed-point theorem are extended, and some existence theorems of solutions for the generalized vector equilibrium problems are established under noncompact setting, which improve and generalize some known results.
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class \(\mathfrak A\)-KKM\((X, Y, Z)\) mapping
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generalized KKM theorems
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