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Nonexpansive Actions of Topological Semigroups on Strictly Convex Banach Spaces and Fixed Points
Let $C$ be a closed convex subset of a strictly convex Banach space $X$ and $\left \{ {{T_s}:s \in S} \right \}$ be a continuous representation of a semitopological semigroup $S$ as nonexpansive mappings of $C$ into itself. The main result establishes the fact that if for some $x \in …