We give an affirmative answer to Schauder's fixed point question.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm170-3-2, author = {Robert Cauty}, title = {Solution du probl\`eme de point fixe de Schauder}, journal = {Fundamenta Mathematicae}, volume = {167}, year = {2001}, pages = {231-246}, zbl = {0983.54045}, language = {fra}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm170-3-2} }
Robert Cauty. Solution du problème de point fixe de Schauder. Fundamenta Mathematicae, Tome 167 (2001) pp. 231-246. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm170-3-2/