%0 Journal Article
%T Fixed-Point Theory on a Frechet Topological Vector Space
%A Afif Ben Amar
%A Mohamed Amine Cherif
%A Maher Mnif
%J International Journal of Mathematics and Mathematical Sciences
%D 2011
%I Hindawi Publishing Corporation
%R 10.1155/2011/390720
%X We establish some versions of fixed-point theorem in a Frechet topological vector space . The main result is that every map = (where  is a continuous map and  is a continuous linear weakly compact operator) from a closed convex subset of a Frechet topological vector space having the Dunford-Pettis property into itself has fixed-point. Based on this result, we present two versions of the Krasnoselskii fixed-point theorem. Our first result extend the well-known Krasnoselskii's fixed-point theorem for U-contractions and weakly compact mappings, while the second one, by assuming that the family {(£¿,)¡Ã¡Ê() where £¿ and ¡Ã¡ú a compact operator} is nonlinear  equicontractive, we give a fixed-point theorem for the operator of the form ¡Ã=(,()).
%U http://www.hindawi.com/journals/ijmms/2011/390720/