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Any multimap from a Hausdorff compact space to a generalized convex space has a continuous selection whenever it has nonempty generalized convex values and open fibers. Some related new results are obtained as well as generalizations of many known results. Furthermore, applications to fixed point theorems and existence of equilibria are given.
1Supported in part by KOSEF-981-0102-013-2
1Supported in part by KOSEF-981-0102-013-2
1Supported in part by KOSEF-981-0102-013-2
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