Hybrid iteration method for common fixed points of an infinite family of nonexpansive mappings in Banach spaces

DOI10.1186/1687-1812-2012-22zbMath1273.47111OpenAlexW2152799347WikidataQ59271252 ScholiaQ59271252MaRDI QIDQ367402

Wei-Qi Deng

Publication date: 16 September 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-22

zbMATH Keywords

strong convergenceweak convergencecommon fixed pointhybrid iterationinfinite family of nonexpansive mappings

Mathematics Subject Classification ID

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

Cites Work

• Convergence of hybrid steepest-descent methods for variational inequalities
• Iterative construction of fixed points of asymptotically nonexpansive mappings
• Approximation of fixed points of nonexpansive mappings and solutions of variational inequalities
• Iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
• Hybrid iteration method for fixed points of nonexpansive mappings in arbitrary Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings
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