Uniform mean convergence theorems for hybrid mappings in Hilbert spaces

DOI10.1186/1687-1812-2012-193zbMath1475.47039OpenAlexW2117466488WikidataQ59272459 ScholiaQ59272459MaRDI QIDQ385665

Koji Aoyama, Fumiaki Kohsaka

Publication date: 2 December 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-193

zbMATH Keywords

nonexpansive mappingergodic theoremnonspreading mappinghybrid mappinguniform mean convergence theorem

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear ergodic theorems (47H25)

Cites Work

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• Amenable semigroups
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• An ergodic theorem for semigroups of nonexpansive mappings in a Hilbert space
• Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• A contribution to the theory of divergent sequences
• A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
• Nonlinear ergodic theorems
• Nonexpansive retractions and nonlinear ergodic theorems in Banach spaces
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces