Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 458265, 19 pages
doi:10.1155/2010/458265

Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits

Abstract

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(0) spaces. We also study the well-posedness of these fixed point problems.