Weak and strong convergence theorems of modified Ishikawa iteration for an infinitely countable family of pointwise asymptotically nonexpansive mappings in Hilbert spaces

DOI10.1016/j.ajmsc.2011.03.002zbMath1291.47052OpenAlexW2067669790MaRDI QIDQ642663

Javad Balooee

Publication date: 27 October 2011

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2011.03.002

zbMATH Keywords

common fixed pointprojection operatorprojection techniqueIshikawa iteration methodmonotone hybrid methodpointwise asymptotically nonexpansive mappingweak (strong) convergence

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Convergence theorems and stability results of pointwise asymptotically nonexpansive mapping in Banach space

Cites Work

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• Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Asymptotic pointwise contractions
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Strong convergence of the CQ method for fixed point iteration processes
• Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Fixed Points by a New Iteration Method
• Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Mean Value Methods in Iteration