A Topological and Geometric Approach to Fixed Points Results for Sum of Operators and Applications
| dc.creator | Barroso, Cleon S. | |
| dc.creator | Teixeira, Eduardo V. | |
| dc.date | 2004-03-26 | |
| dc.date | 2004-08-09 | |
| dc.date.accessioned | 2026-07-07T05:06:49Z | |
| dc.date.available | 2026-07-07T05:06:49Z | |
| dc.description | In the present paper we establish a fixed point result of Krasnoselskii type for the sum $A+B$, where $A$ and $B$ are continuous maps acting on locally convex spaces. Our results extend previous ones. We apply such results to obtain strong solutions for some quasi-linear elliptic equations with lack of compactness. We also provide an application to the existence and regularity theory of solutions to a nonlinear integral equation modeled in a Banach space. In the last section we develop a sequentially weak continuity result for a class of operators acting on vector-valued Lebesgue spaces. Such a result is used together with a geometric condition as the main tool to provide an existence theory for nonlinear integral equations in $L\sp p(E)$. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0403474 | |
| dc.identifier | http://arxiv.org/abs/math/0403474 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70619 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47H10; 45G10, 35J60, 47H30 | |
| dc.title | A Topological and Geometric Approach to Fixed Points Results for Sum of Operators and Applications | |
| dc.type | text |