Strong convergence of composite iterative schemes for a countable family of nonexpansive mappings in Banach spaces

DOI10.1016/j.na.2010.03.034zbMath1226.47080OpenAlexW2037721529MaRDI QIDQ975842

Suthep Suantai, Chakkrid Klin-eam

Publication date: 11 June 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.03.034

zbMATH Keywords

fixed pointsaccretive operatorstrong convergenceviscosity approximationcomposite iterative schemescountable family nonexpansive mappings

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (4)

Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings ⋮ Unnamed Item ⋮ A modified mixed Ishikawa iteration for common fixed points of two asymptotically quasi pseudocontractive type non-self-mappings ⋮ Strong convergence of a general iterative method for a countable family of nonexpansive mappings in Banach spaces

Cites Work

• Unnamed Item
• Convergence on composite iterative schemes for nonexpansive mappings in Banach spaces
• Viscosity approximation method for accretive operator in Banach space
• Strong convergence of composite iterative schemes for zeros of \(m\)-accretive operators in Banach spaces
• Strong convergence of modified Mann iterations for a countable family of nonexpansive mappings
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Approximation of fixed points of nonexpansive mappings
• Strong convergence of modified Mann iterations
• Viscosity approximation methods for fixed-points problems
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Strong convergence and certain control conditions for modified Mann iteration
• Viscosity approximation methods for a family of finite nonexpansive mappings in Banach spaces
• Viscosity approximation methods for countable families of nonexpansive mappings in Banach spaces
• Iterative Algorithms for Nonlinear Operators
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• Fixed points of nonexpanding maps

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