Uniformly Lipschitzian Semigroups in Hilbert Space
David J. Downing, William O. Ray · Canadian Mathematical Bulletin · 1982
Abstract Let K be a closed, bounded, convex, nonempty subset of a Hilbert Space . It is shown that if is a left reversible, uniformly k-lipschitzian semigroup of mappings of K into itself, with k < √2, then has a common fixed point in K.