Measures of Weak Compactness and Fixed Point Theory
| dc.creator | Barroso, Cleon S. | |
| dc.creator | O'Regan, Donal | |
| dc.date | 2003-10-27 | |
| dc.date | 2003-12-05 | |
| dc.date.accessioned | 2026-07-07T05:02:16Z | |
| dc.date.available | 2026-07-07T05:02:16Z | |
| dc.description | In this paper, we study a class of Banach spaces, called ϕ-spaces. In a natural way, we associate a measure of weak compactness in such spaces and prove an analogue of Sadovskii fixed point theorem for weakly sequentially continuous maps. A counter-example is given to justify our requirement. As an application, we establish an existence result for a Hammerstein integral equation in a Banach space. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310422 | |
| dc.identifier | http://arxiv.org/abs/math/0310422 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68993 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47H10; 45N05 | |
| dc.title | Measures of Weak Compactness and Fixed Point Theory | |
| dc.type | text |