Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings

DOI10.1016/J.NAHS.2009.12.003zbMath1198.47083OpenAlexW2088397319MaRDI QIDQ708108

Watcharaporn Cholamjiak, Suthep Suantai

Publication date: 11 October 2010

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2009.12.003

zbMATH Keywords

strong convergenceweak convergencecommon fixed pointMann iteration processasymptotically quasi-nonexpansive mappingmonotone hybrid method

Mathematics Subject Classification ID

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

Related Items (2)

Weak and strong convergence theorems of modified Ishikawa iteration for an infinitely countable family of pointwise asymptotically nonexpansive mappings in Hilbert spaces ⋮ Convergence Theorems for Pointwise Asymptotically Strict Pseudo-Contractions in Hilbert Spaces

Cites Work

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• Asymptotically strict pseudocontractive mappings in the intermediate sense
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• Strong convergence theorems for a family of Lipschitz quasi-pseudo-contractions in Hilbert spaces
• Strong convergence theorems for a countable family of quasi-Lipschitzian mappings and its applications
• A hybrid iterative scheme for equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces
• A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• An example concerning fixed points
• 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
• Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions
• Strong convergence of the CQ method for fixed point iteration processes
• Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
• Inequalities in Banach spaces with applications
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Mean Value Methods in Iteration

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