Fixed point theorems on product topological semilattice spaces, generalized abstract economies and systems of generalized vector quasi-equilibrium problems (Q636079)

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scientific article; zbMATH DE number 5943154
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Fixed point theorems on product topological semilattice spaces, generalized abstract economies and systems of generalized vector quasi-equilibrium problems
scientific article; zbMATH DE number 5943154

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    Fixed point theorems on product topological semilattice spaces, generalized abstract economies and systems of generalized vector quasi-equilibrium problems (English)
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    25 August 2011
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    Fixed point theorems for a family of multivalued maps defined on the product space of topological semilattice spaces are proved. From these, an existence of equilibrium for generalized abstract economies with two constraint correspondences is derived. Systems of generalized vector quasi-equilibrium problems for three variables multivalued maps are considered. Existence results for solutions of these systems are established.
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    fixed point theorems
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    multivalued maps
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    topological semilattice spaces
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    generalized vector quasi-equilibrium problems
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    generalized abstract economies
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