Hybrid algorithm for common fixed points of uniformly closed countable families of hemirelatively nonexpansive mappings and applications

DOI10.1155/2012/401960zbMath1295.47070OpenAlexW2087218130WikidataQ58906839 ScholiaQ58906839MaRDI QIDQ410957

Sumei Ai, Yongfu Su

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/401960

zbMATH Keywords

common fixed pointshybrid algorithmhemirelatively nonexpansive mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Strong convergence theorems for a common fixed point of two countable families of relatively quasi nonexpansive mappings and applications

Cites Work

• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Approximation of common fixed points for a countable family of relatively nonexpansive mappings in a Banach space and applications
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Strong convergence of the CQ method for fixed point iteration processes
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
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