New hybrid iterative schemes for an infinite family of nonexpansive mappings in Hilbert spaces

DOI10.1155/2010/572838zbMath1203.47046OpenAlexW2010120631WikidataQ59250192 ScholiaQ59250192MaRDI QIDQ963598

Baohua Guo, Sheng-Hua Wang

Publication date: 13 April 2010

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

Full work available at URL: https://eudml.org/doc/230576

zbMATH Keywords

strong convergenceiterative schemes

Mathematics Subject Classification ID

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

Cites Work

• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• Strong convergence to common fixed points of families of nonexpansive mappings
• Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• Mean Value Methods in Iteration

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