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Fixed point theorems on product topological semilattice spaces, generalized abstract economies and systems of generalized vector quasi-equilibrium problems. (English) Zbl 1237.47060

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.

MSC:
47H10Fixed point theorems for nonlinear operators on topological linear spaces
90C29Multi-objective programming; goal programming
47J20Inequalities involving nonlinear operators
47H04Set-valued operators
91B52Special types of equilibria in economics