Strong Convergence of Composite Iteration Process for Nonexpansive Semigroups

DOI10.1080/01630563.2011.636855zbMath1258.47073OpenAlexW2071990571MaRDI QIDQ2895678

Shiguo Peng, Li-Ping Yang

Publication date: 4 July 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2011.636855

zbMATH Keywords

variational inequalityiterative processcommon fixed pointnonexpansive semigroups

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25)

Cites Work

• Convergence to common fixed point of nonexpansive semigroups
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Fixed point iterations for certain nonlinear mappings
• Viscosity approximation methods for nonexpansive mappings
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Iterative Algorithms for Nonlinear Operators
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Strong convergence theorem for asymptotically nonexpansive mappings
• Nonexpansive retracts of Banach spaces
• Strong asymptotic behavior of almost-orbits of nonlinear semigroups