Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits
Department of Applied Mathematics, Babeş-Bolyai University, Kogălniceanu 1, 400084 Cluj-Napoca, Romania
Fixed Point Theory and Applications 2010, 2010:458265 doi:10.1155/2010/458265Published: 2 December 2009
We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive mappings. We consider the case of metric spaces and, in particular, CAT spaces. We also study the well-posedness of these fixed point problems.