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Fixed points and quasi-equilibrium problems |
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| Authors: | S Park |
| Abstract: | A fixed-point theorem for compact acyclic maps defined on convex subsets of notnecessarily locally convex topological vector spaces is applied to the existence of solutions of quasi-equilibrium problems. Such existence theorems extend known ones which were used for unified approaches to quasi-variational inequalities in 1–5] and others. |
| Keywords: | Admissible topological vector space (t v s ) Acyclic map Compact map Closed map Upper semicontinuous (u s c ) Lower semicontinuous (l s c ) Quasi-equilibrium problem Symmetric quasi-equilibrium theorem |
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