Shrinking projection methods for firmly nonexpansive mappings

DOI10.1016/j.na.2009.02.001zbMath1238.47043OpenAlexW2045618210MaRDI QIDQ419983

Koji Aoyama, Fumiaki Kohsaka, Takahashi, Wataru

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.02.001

zbMATH Keywords

fixed pointshrinking projection methodfirmly 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

Hybrid proximal point algorithm and applications to equilibrium problems and convex programming ⋮ Unnamed Item ⋮ Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings ⋮ Strong convergence of shrinking projection methods for a family of pseudocontractive mappings in Hilbert spaces ⋮ Strong convergence theorems for strongly nonexpansive sequences ⋮ A viscosity approximation method for weakly relatively nonexpansive mappings by the sunny nonexpansive retractions in Banach spaces ⋮ Existence of fixed points of firmly nonexpansive-like mappings in Banach spaces ⋮ VISCOSITY APPROXIMATION METHODS WITH A SEQUENCE OF CONTRACTIONS

Cites Work

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• Strong convergence of the CQ method for fixed point iteration processes
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• A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
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