The general iterative methods for asymptotically nonexpansive semigroups in Banach spaces

DOI10.1155/2012/695183zbMath1296.47102OpenAlexW2132867853WikidataQ58695900 ScholiaQ58695900MaRDI QIDQ1938274

Pakkapon Preechasilp, Rabian Wangkeeree

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/695183

zbMATH Keywords

strong convergencevariational inequalitiesiterative methodreflexive Banach spacecommon fixed pointweakly continuous duality mappingasymptotically nonexpansive semigroup

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Unnamed Item ⋮ The split common fixed point problem for asymptotically nonexpansive semigroups in Banach spaces ⋮ Hybrid Mann-Halpern iteration methods for finding fixed points involving asymptotically nonexpansive mappings and semigroups

Cites Work

• Strong convergence theorems for a semigroup of asymptotically nonexpansive mappings
• The general iterative methods for nonexpansive mappings in Banach spaces
• General iterative methods for a one-parameter nonexpansive semigroup in Hilbert space
• On Reich's strong convergence theorems for resolvents of accretive operators
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• An iterative approach to quadratic optimization
• Viscosity approximation methods for nonexpansive mappings
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• An explicit construction of sunny nonexpansive retractions in Banach spaces
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• Approximation of Fixed Points of Asymptotically Nonexpansive Mappings
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• Fixed point theorems for asymptotically nonexpansive mappings
• Convergence of paths for pseudo-contractive mappings in Banach spaces
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
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