%0 Journal Article %T Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces %A Aoyama Koji %A Kohsaka Fumiaki %J Fixed Point Theory and Applications %D 2010 %I Springer %X The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space. The class of mappings of type (P) contains the classes of resolvents of maximal monotone operators in Banach spaces and firmly nonexpansive mappings in Hilbert spaces. %U http://www.fixedpointtheoryandapplications.com/content/2010/512751