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An intersection theorem formultivalued maps and applications

✍ Scribed by K.Q. Lan

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
324 KB
Volume
48
Category
Article
ISSN
0898-1221

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✦ Synopsis

A new intersection theorem for multivalued maps is obtained. This new theorem requires the maps involved to satisfy a weaker compactness condition and generalizes known results. Applications of this new theorem are given to the existence of maximal and greatest elements for strict and weak relations and to minimax inequalities. @

πŸ“œ SIMILAR VOLUMES

An intersection theorem for systems of s
An intersection theorem for systems of sets
✍ A. V. Kostochka πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 346 KB πŸ‘ 2 views

Erdos and Rado defined a A-system, as a family in which every two members have the same intersection. Here we obtain a new upper bound on the maximum cardinality q ( n , q ) of an n-uniform family not containing any A-system of cardinality q. Namely, we prove that, for any a > 1 and q , there exists