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A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points

✍ Scribed by I. L. Glicksberg


Book ID
121240663
Publisher
American Mathematical Society
Year
1952
Tongue
English
Weight
168 KB
Volume
3
Category
Article
ISSN
0002-9939

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✍ K.Q. Lan; J.H. Wu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 597 KB

new fixed-point theorem for a family of maps defined on product spaces is obtained. The new result requires the functions involved to satisfy the local intersection properties. Previous results required the functions to have the open lower sections which are more restrictive conditions. New proper