%0 Journal Article
%T Quasi Contraction and Fixed Points
%A Mehdi Roohi
%A Mohsen Alimohammady
%J Journal of Nonlinear Analysis and Application
%D 2012
%I International Scientific Publications and Consulting Services (ISPACS)
%R 10.5899/2012/jnaa-00168
%X In this note, we establish and improve some results on fixed point theory in topological vector spaces. As a generalization of contraction maps, the concept of quasi contraction multivalued maps on a topological vector space will be defined. Further, it is shown that a quasi contraction and closed multivalued map on a topological vector space has a unique fixed point if it is bounded value.
%K Topological vector space
%K Quasi contraction
%K Fixed point
%K Multi-valued map
%U http://www.ispacs.com/journals/jnaa/2012/jnaa-00168/article.pdf