The fan theorem and unique existence of maxima
Berger, Josef ; Bridges, Douglas ; Schuster, Peter
J. Symbolic Logic, Tome 71 (2006) no. 1, p. 713-720 / Harvested from Project Euclid
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The 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.
Publié le : 2006-06-14
Classification:  
@article{1146620167,
     author = {Berger, Josef and Bridges, Douglas and Schuster, Peter},
     title = {The fan theorem and unique existence of maxima},
     journal = {J. Symbolic Logic},
     volume = {71},
     number = {1},
     year = {2006},
     pages = { 713-720},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1146620167}
}

Berger, Josef; Bridges, Douglas; Schuster, Peter. The fan theorem and unique existence of maxima. J. Symbolic Logic, Tome 71 (2006) no. 1, pp.  713-720. http://gdmltest.u-ga.fr/item/1146620167/