A porosity theorem for a class of nonexpansive set-valued mappings

DOI10.1090/conm/699/14096OpenAlexW4239797202MaRDI QIDQ4686889

Zaslavski, Alexander J., Simeon Reich

Publication date: 10 October 2018

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/699/14096

zbMATH Keywords

fixed pointnonexpansive mappingHausdorff metriccomplete metric spaceset-valued mappinghyperbolic spaceporosityapproximate fixed point

Mathematics Subject Classification ID

Complete metric spaces (54E50) Baire category, Baire spaces (54E52) Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Approximate fixed points of nonexpansive mappings in unbounded sets
• Optimization on metric and normed spaces
• Nonconvex optimal control and variational problems
• Genericity in nonlinear analysis
• A Note on Contractive Mappings
• Nonexpansive iterations in hyperbolic spaces
• Convergence of Krasnoselskii-Mann iterations of nonexpansive operators
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