| A Fixed Point Theorem for Set-Valued Mapping in Abstract Convex Space with Application |
| Received:April 10, 2007 Revised:October 30, 2007 |
| Key Words:
set-valued mapping fixed point continuous selection Nash equilibrium.
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| Fund Project:the National Natural Science Foundation of China (No.10561003). |
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| Abstract: |
| A new fixed point theorem and the selection property for upper semi-continuous set-valued mappings in abstract convexity space are established. As their applications the existence of Nash equilibrium for $n$-person non-cooperative generalized games is proved. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.04.018 |
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