Abstract. It is shown that a closed convex subset K of a real Hilbert space H has the fixed point property for nonexpansive mappings if and only if AT is bounded.
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.
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