A fixed point theorem for a class of star-shaped sets in c 0
A subset K of c 0 is coordinatewise star-shaped (c.s.s.) if there exists a center point x ∈K such that for y ∈K and z ∈c 0, if z is coordinatewise between x and y then z ∈K. We prove that a weakly compact c.s.s. subset of c 0 has the fixed point property for nonexpansive mappings and that a fixed po...
| Auteurs principaux: | , , |
|---|---|
| Format: | Journal article |
| Langue: | English |
| Publié: |
Springer-Verlag
1981
|
| _version_ | 1826271354205241344 |
|---|---|
| author | Haydon, R Odell, E Sternfeld, Y |
| author_facet | Haydon, R Odell, E Sternfeld, Y |
| author_sort | Haydon, R |
| collection | OXFORD |
| description | A subset K of c 0 is coordinatewise star-shaped (c.s.s.) if there exists a center point x ∈K such that for y ∈K and z ∈c 0, if z is coordinatewise between x and y then z ∈K. We prove that a weakly compact c.s.s. subset of c 0 has the fixed point property for nonexpansive mappings and that a fixed point for such a mapping can be obtained in a constructive manner. © 1981 The Weizmann Science Press of Israel. |
| first_indexed | 2024-03-06T21:55:21Z |
| format | Journal article |
| id | oxford-uuid:4cbce59e-7c5b-491f-94a3-7ee77c4ac028 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:55:21Z |
| publishDate | 1981 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | oxford-uuid:4cbce59e-7c5b-491f-94a3-7ee77c4ac0282022-03-26T15:51:12ZA fixed point theorem for a class of star-shaped sets in c 0 Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4cbce59e-7c5b-491f-94a3-7ee77c4ac028EnglishSymplectic Elements at OxfordSpringer-Verlag1981Haydon, ROdell, ESternfeld, YA subset K of c 0 is coordinatewise star-shaped (c.s.s.) if there exists a center point x ∈K such that for y ∈K and z ∈c 0, if z is coordinatewise between x and y then z ∈K. We prove that a weakly compact c.s.s. subset of c 0 has the fixed point property for nonexpansive mappings and that a fixed point for such a mapping can be obtained in a constructive manner. © 1981 The Weizmann Science Press of Israel. |
| spellingShingle | Haydon, R Odell, E Sternfeld, Y A fixed point theorem for a class of star-shaped sets in c 0 |
| title | A fixed point theorem for a class of star-shaped sets in c 0
|
| title_full | A fixed point theorem for a class of star-shaped sets in c 0
|
| title_fullStr | A fixed point theorem for a class of star-shaped sets in c 0
|
| title_full_unstemmed | A fixed point theorem for a class of star-shaped sets in c 0
|
| title_short | A fixed point theorem for a class of star-shaped sets in c 0
|
| title_sort | fixed point theorem for a class of star shaped sets in c 0 |
| work_keys_str_mv | AT haydonr afixedpointtheoremforaclassofstarshapedsetsinc0 AT odelle afixedpointtheoremforaclassofstarshapedsetsinc0 AT sternfeldy afixedpointtheoremforaclassofstarshapedsetsinc0 AT haydonr fixedpointtheoremforaclassofstarshapedsetsinc0 AT odelle fixedpointtheoremforaclassofstarshapedsetsinc0 AT sternfeldy fixedpointtheoremforaclassofstarshapedsetsinc0 |