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Equilibria and fixed points of set-valued maps with nonconvex and noncompact domains and ranges. (English) Zbl 1108.47047

The authors prove new fixed point theorems for set-valued maps defined on subsets which are not necessarily convex in topological vector spaces. These results are applied for studying equilibrium problems and minimax inequalities. Examples illustrate the applicability of the abstract results.

MSC:

47H04 Set-valued operators
47H10 Fixed-point theorems
47N10 Applications of operator theory in optimization, convex analysis, mathematical programming, economics
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