Abstract
New fixed point theorems for maps (single-valued and multi-valued) between Frechet spaces are presented. The proof relies on fixed point theory in Banach spaces and viewing a Frechet space as the projective limit of a sequence of Banach spaces. In particular we obtain an applicable Leray-Schauder alternative, a Lefschetz fixed point theorem and a Krasnoselskii fixed point theorem in Frechet spaces for general classes of maps.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 497-513 |
| Number of pages | 17 |
| Journal | Fixed Point Theory |
| Volume | 9 |
| Issue number | 2 |
| Publication status | Published - 1 Aug 2008 |
Keywords
- Fixed point theory
- Fréchet space
- Projective limits
- Single-valued and multivalued maps
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- O'Regan, D,Petrusel, A