Strong convergence theorems for finitely many nonexpansive mappings

DOI10.1016/j.na.2008.02.078zbMath1223.47098OpenAlexW2082196848MaRDI QIDQ1005289

Hongliang Zuo, Yisheng Song

Publication date: 9 March 2009

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.2008.02.078

zbMATH Keywords

non-expansive mappingsweakly continuous duality mapping

Mathematics Subject Classification ID

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

Cites Work

• Strong convergence theorems for finitely many nonexpansive mappings and applications
• Common fixed points of nonexpansive mappings by iteration
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Fixed points of nonexpansive mappings
• Asymptotic behavior of contractions in Banach spaces
• Iterative approximation of fixed points of nonexpansive mappings
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Strong convergence of an iterative method for nonexpansive and accretive operators
• Iterative Algorithms for Nonlinear Operators
• A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings
• Approximating Zeros of Accretive Operators
• A strong convergence theorem for contraction semigroups in Banach spaces
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