The structure of fixed-point sets of uniformly lipschitzian semigroups
Jarosław Górnicki · Collectanea mathematica · 2011
In this paper, by asymptotic center techniques, we shown that the set of fixed points of a uniformly k -lipschitzian semigroup (one-parameter or left reversible semi-topological) in a uniformly convex Banach space is a retract of the domain if k is close to 1. The results presented in this paper includes (among others, in the discrete situation) many known results as special cases.