Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits

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 we...

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Bibliographic Details
Main Author: Adriana Nicolae
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/458265