Weak and strong convergence for fixed points of asymptotically non-expansive mappings

DOI10.1007/s10114-004-0321-7zbMath1098.47059OpenAlexW1997533543MaRDI QIDQ2577665

Liu, Zeqing, Kang, Shin Min

Publication date: 5 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0321-7

zbMATH Keywords

strong convergenceweak convergenceasymptotically nonexpansive mappingmodified three-step iterative sequenceuniformly convex \(B\)-space

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)

Related Items (6)

Approximating common fixed points of asymptotically nonexpansive maps in uniformly convex Banach spaces ⋮ Simpler is also better in approximating fixed points ⋮ Unnamed Item ⋮ Strong convergence theorem for quasi-\(\phi \)-asymptotically nonexpansive mappings in the intermediate sense in Banach spaces ⋮ Iterative approaches to common fixed points of asymptotically nonexpansive mappings ⋮ Asymptotically strict pseudocontractive mappings in the intermediate sense

Cites Work

• Unnamed Item
• Iterative construction of fixed points of asymptotically nonexpansive mappings
• Fixed point iterations for certain nonlinear mappings
• On the approximation problem of fixed points for asymptotically nonexpansive mappings
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
• Weak Convergence to the Fixed Point of an Asymptotically Nonexpansive Map
• Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• On the Mann Iterative Process
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings

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