An example for a one-parameter nonexpansive semigroup
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 limt→∞‖(1/t)∫0tT(s)xds−x‖=0 for some x∈C, which is not a common fixed point of {T(t):t≥0}....
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA.2005.173 |
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| Summary: | 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 limt→∞‖(1/t)∫0tT(s)xds−x‖=0
for some x∈C, which is not a common fixed point of {T(t):t≥0}. |
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| ISSN: | 1085-3375 1687-0409 |