Viscosity approximation to common fixed points of a nonexpansive semigroup with a generalized contraction mapping

DOI10.1016/j.na.2009.04.033zbMath1222.47103OpenAlexW1991611826MaRDI QIDQ732577

Qiang Lin

Publication date: 9 October 2009

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.2009.04.033

zbMATH Keywords

strong convergencefixed pointreflexive Banach spacenonexpansive semigroupviscosity approximation methodMeir-Keeler type mapping

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Iterative methods for solving equilibrium problems, variational inequalities and fixed points of nonexpansive semigroups ⋮ A general iterative method for a nonexpansive semigroup in Banach spaces with gauge functions ⋮ Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions ⋮ Implicit iteration methods with errors for discrete non-Lipschitzian families with perturbed mappings ⋮ Algorithms for solving generalized equilibrium problems and fixed points of nonexpansive semigroups in Hilbert spaces ⋮ Strong convergence of viscosity iterations with error terms for cosine families in Banach spaces

Cites Work

• Moudafi's viscosity approximations with Meir--Keeler contractions
• Iterative approximation to common fixed points of nonexpansive mapping sequences in reflexive Banach spaces
• Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings
• Iterative approaches to finding nearest common fixed points of nonexpansive mappings in Hilbert spaces.
• An iterative approach to quadratic optimization
• Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Viscosity approximation of common fixed points of nonexpansive semigroups in Banach space
• Iterative approaches to convex feasibility problems in Banach spaces
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Approximations to fixed points of contraction semigroups in hilbert spaces
• On characterizations of Meir-Keeler contractive maps

This page was built for publication: Viscosity approximation to common fixed points of a nonexpansive semigroup with a generalized contraction mapping