Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces
Koji Aoyama, Fumiaki Kohsaka · Fixed Point Theory and Applications · 2010
Abstract 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.