Some New Asymptotic Fixed Point Theorems
AUTOR(ES)
Browder, Felix E.
RESUMO
For a continuous self mapping f of a locally convex topological vector space which is locally compact (i.e., f maps a neighborhood of each point into a relatively compact set), it is shown that a sufficient condition for the existence of a fixed point is the existence of a compact attractor K0 such that each orbit under f has a point of K0 in its closure. The proof is based upon the circle of ideas of the Lefschetz fixed point theorem.
