The set of common fixed points of a one-parameter continuous semigroup of mappings is F(T(1)) cap F(T(sqrt 2))
| dc.creator | Suzuki, Tomonari | |
| dc.date | 2004-08-24 | |
| dc.date.accessioned | 2026-07-07T05:11:31Z | |
| dc.date.available | 2026-07-07T05:11:31Z | |
| dc.description | In this paper, we prove the following theorem: Let {T(t) : t >= 0} be a one-parameter continuous semigroup of mappings on a subset C of a Banach space E. The set of fixed points of T(t) is denoted by F(T(t)) for each t >= 0. Then cap_{t >= 0} F(T(t)) = F(T(1)) cap F(T(sqrt 2)) holds. Using this theorem, we discuss convergence theorems to a common fixed point of {T(t) : t >= 0}. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408329 | |
| dc.identifier | http://arxiv.org/abs/math/0408329 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72268 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47H20, 47H10 | |
| dc.title | The set of common fixed points of a one-parameter continuous semigroup of mappings is F(T(1)) cap F(T(sqrt 2)) | |
| dc.type | text |