An example for a one-parameter nonexpansive semigroup

Tomonari Suzuki

Abstract and Applied Analysis, 2005, vol. 2005, 1-11

Abstract:

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 lim t → ∞ ‖ ( 1 / t ) ∫ 0 t T ( s ) x d s − x ‖ = 0 for some x ∈ C , which is not a common fixed point of { T ( t ) : t ≥ 0 } .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:678516

DOI: 10.1155/AAA.2005.173

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