Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces

DOI10.1186/1687-1812-2011-88zbMath1271.47063OpenAlexW2144829657WikidataQ59267658 ScholiaQ59267658MaRDI QIDQ359913

Ming Tian, Xin Jin

Publication date: 23 August 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-88

zbMATH Keywords

fixed pointnonlinear operatorviscosity methodquasi-nonexpansive mappingLipschitz continuousstrongly monotone

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Convergence analysis for the equilibrium problems with numerical results ⋮ A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping ⋮ A general iterative algorithm for an infinite family of nonexpansive operators in Hilbert spaces ⋮ Strong convergence for a strongly quasi-nonexpansive sequence in Hilbert spaces

Cites Work

• On the strong convergence of viscosity approximation process for quasinonexpansive mappings in Hilbert spaces
• The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
• A general iterative algorithm for nonexpansive mappings in Hilbert spaces
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• An iterative approach to quadratic optimization
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces

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