Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings

DOI10.1007/s11766-008-1951-9zbMath1199.47301OpenAlexW2038074057MaRDI QIDQ1032791

Yongfu Su, Li Wei, Hai-Yun Zhou

Publication date: 11 November 2009

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-008-1951-9

zbMATH Keywords

strong convergencefixed pointmaximal monotone operatorzero pointrelatively nonexpansive mapping

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

New construction and proof techniques of projection algorithm for countable maximal monotone mappings and weakly relatively non-expansive mappings in a Banach space ⋮ Simple form of a projection set in hybrid iterative schemes for non-linear mappings, application of inequalities and computational experiments ⋮ New iterative schemes for strongly relatively nonexpansive mappings and maximal monotone operators

Cites Work

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• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Forcing strong convergence of proximal point iterations in a Hilbert space
• Strong convergence theorems for relatively nonexpansive mappings in a Banach space
• Strong convergence of the CQ method for fixed point iteration processes
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space

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