Virtually nonexpansive maps and their convergence sets

DOI10.1016/j.jmaa.2006.03.007zbMath1120.47042OpenAlexW2012814413MaRDI QIDQ860948

Phichet Chaoha

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.007

zbMATH Keywords

fixed point setnonexpansive retractconvergence settotally bounded fixed point set

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (5)

Virtually stable maps and their fixed point sets ⋮ Generalized virtually stable maps and their associated sequences ⋮ Fixed point sets through iteration schemes ⋮ Fixed point sets of set-valued mappings ⋮ Porosity results on fixed points for nonexpansive set-valued maps in hyperbolic spaces

Cites Work

• Convergence of Ishikawa iterates of quasi-nonexpansive mappings
• On convergence of a sequence in complete metric spaces and its applications to some iterates of quasi-nonexpansive mappings
• A note on fixed point sets in CAT(0) spaces
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings
• Fixed Points by a New Iteration Method
• An Introduction to Metric Spaces and Fixed Point Theory
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
• Mean Value Methods in Iteration

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