THE SET OF COMMON FIXED POINTS OF A ONE-PARAMETER CONTINUOUS SEMIGROUP OF NONEXPANSIVE MAPPINGS IS F IN STRICTLY CONVEX BANACH SPACES
Tomonari Suzuki · Taiwanese Journal of Mathematics · 2006
In this paper, we prove the following. Let E be a strictly convex Banach space. Let {T(t) : t ≥ 0} be a one-parameter strongly continuous semigroup of nonexpansive mappings on a subset C of E. Then t≥0 F T(t) = F 1 2T(1) + 1 2T( √ 2) holds, where F T(t) is the set of fixed points of T(t) for each t ≥ 0.