Demiclosed principle and convergence of a hybrid algorithm for multivalued *-nonexpansive mappings

摘要

A demiclosed principle is proved for multivalued ?-nonexpansive mappings. Moreover,strong convergence of an iterative algorithm is obtained for such mappings in a Banach space byusing metric projections. The results of this paper improve and extend the corresponding results forsingle valued nonexpansive mappings which was studied by many authors.