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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| 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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| _version_ | 1832545471378227200 |
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| author | Tomonari Suzuki |
| author_facet | Tomonari Suzuki |
| author_sort | Tomonari Suzuki |
| collection | DOAJ |
| description | 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}. |
| format | Article |
| id | doaj-art-cef3abc172bf42b3997164477d2ae665 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cef3abc172bf42b3997164477d2ae6652025-02-03T07:25:50ZengWileyAbstract and Applied Analysis1085-33751687-04092005-01-012005217318310.1155/AAA.2005.173An example for a one-parameter nonexpansive semigroupTomonari Suzuki0Department of Mathematics, Kyushu Institute of Technology, 1-1 Sensui-cho, Tobata-ku, Kitakyushu 804-8550, JapanWe 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}.http://dx.doi.org/10.1155/AAA.2005.173 |
| spellingShingle | Tomonari Suzuki An example for a one-parameter nonexpansive semigroup Abstract and Applied Analysis |
| title | An example for a one-parameter nonexpansive semigroup |
| title_full | An example for a one-parameter nonexpansive semigroup |
| title_fullStr | An example for a one-parameter nonexpansive semigroup |
| title_full_unstemmed | An example for a one-parameter nonexpansive semigroup |
| title_short | An example for a one-parameter nonexpansive semigroup |
| title_sort | example for a one parameter nonexpansive semigroup |
| url | http://dx.doi.org/10.1155/AAA.2005.173 |
| work_keys_str_mv | AT tomonarisuzuki anexampleforaoneparameternonexpansivesemigroup AT tomonarisuzuki exampleforaoneparameternonexpansivesemigroup |