Author:
Berger Josef,Bridges Douglas,Schuster Peter
Abstract
AbstractThe existence and uniqueness of a maximum point for a continuous real–valued function on a metric space are investigated constructively. In particular, it is shown, in the spirit of reverse mathematics, that a natural unique existence theorem is equivalent to the fan theorem.
Publisher
Cambridge University Press (CUP)
Reference13 articles.
1. Computable Analysis
2. Constructive Analysis
3. Informal constructive reverse mathematics;Ishihara;Sūurikaisekikenkyūsho Kīkyūroko,2004
Cited by
19 articles.
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