A new fixed point theorem and its applications. (English) Zbl 0871.47038
Proc. Am. Math. Soc. 125, No. 6, 1779-1783 (1997); errata ibid. 126, No. 7, 2197 (1998).
Summary: We first give a new fixed theorem of lower semicontinuous multivalued mappings, and then, as its applications we obtain some new equilibrium theorems for abstract economies and qualitative games.
MSC:
| 47H04 | Set-valued operators |
| 47H10 | Fixed-point theorems |
| 91A07 | Games with infinitely many players |
| 52A07 | Convex sets in topological vector spaces (aspects of convex geometry) |
Keywords:
locally convex topological vector space; metrizable; lower semicontinuous; qualitative game; abstract economy; multivalued mappings; equilibrium theoremsReferences:
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