An example for a one‐parameter nonexpansive semigroup

Tomonari Suzuki · Abstract and Applied Analysis · 2005

We give one example for a one‐parameter nonexpansive semigroup. This example shows that there exists a one‐parameter nonexpansive semigroup {T(t) : t ≥ 0} on a closed convex subset C of a Banach space E such that for some x ∈ C, which is not a common fixed point of {T(t) : t ≥ 0}.

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