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| Volume 7, Number 1, April 2006, pp. 1-17 | ||||||||
| Sehie Park | ||||||||
| Key words: | ||||||||
| The Schauder conjecture, G-convex space, locally G-convex space, $\Phi$-map, locally selectionable map, approachable map, Kakutani map, Roberts space, hyperconvex metric space | ||||||||
| Mathematices Subject Classification:Primary 47H10, Secondary 46A16, 46A55, 46T20, 52A07, 54H25, 55M20 | ||||||||
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| Abstract: | |||
| We study fixed point properties for various types of multimaps defined on generalized convex spaces and mutual relations of those properties. We obtain several fixed point theorems for approximable or Kakutani multimaps. Our approach is based on the study of approachable maps initiated mainly by Ben-El-Mechaiekh and on other results on generalized convex spaces. | |||
| Fixed points of Approximable or Kakutani maps in Generalized convex spaces | ||