Schauder fixed point, revisited
During the seminar we are going to discuss the following generalization of the classical Schauder fixed point theorem due to R. Cauty:
Let be a convex subset of a topological vector space . If is a continuous function such that is contained in a compact subset of , then has a fixed point.
The talk is based on the following paper: R. Cauty, Solution du problème de point fixe de Schauder, Fund. Math. 170 (2001), 231-246.