Modified iterative algorithms for nonexpansive mappings

DOI10.1155/2009/320820zbMath1220.47137OpenAlexW1998482194WikidataQ58648162 ScholiaQ58648162MaRDI QIDQ1039922

Muhammad Aslam Noor, Yonghong Yao, Syed Tauseef Mohyud-Din

Publication date: 23 November 2009

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228261

zbMATH Keywords

strong convergencenonexpansive mappingsreal Hilbert space2-step iterative algorithms

Mathematics Subject Classification ID

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

Related Items (2)

Convergence of implicit and explicit schemes for common fixed points for finite families of asymptotically nonexpansive mappings ⋮ Common fixed points approximation for asymptotically nonexpansive semigroup in Banach spaces

Cites Work

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• An iterative approach to quadratic optimization
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
• Iterative Algorithms for Nonlinear Operators
• Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings

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