Strong convergence theorems for a finite family of asymptotically nonexpansive mappings and semigroups

DOI10.1016/j.na.2007.11.005zbMath1168.47056OpenAlexW2033332311MaRDI QIDQ960209

Naseer Shahzad, Habtu Zegeye

Publication date: 16 December 2008

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.2007.11.005

zbMATH Keywords

asymptotically nonexpansive mappingcommon fixed pointsasymptotically nonexpansive semigroup

Mathematics Subject Classification ID

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

Related Items

Strong convergence theorems for a countable family of Lipschitzian mappings ⋮ Strong convergence to common fixed points for countable families of asymptotically nonexpansive mappings and semigroups ⋮ Convergence theorems for asymptotically pseudocontractive mappings in the intermediate sense ⋮ Strong convergence theorems for fixed point problems, variational inequality problems and system of generalized mixed equilibrium problems ⋮ Strong Convergence Theorems for the Generalized Viscosity Implicit Rules of Asymptotically Nonexpansive Mappings in the Intermediate Sense in Hilbert Spaces ⋮ Iterative algorithms with variable coefficients for asymptotically strict pseudocontractions ⋮ Strong convergence theorems for families of weak relatively nonexpansive mappings ⋮ Approximating fixed points of non-Lipschitzian mappings by metric projections ⋮ Convergence analysis of modified viscosity implicit rules of asymptotically nonexpansive mappings in Hilbert spaces ⋮ On strong convergence by the hybrid method for equilibrium and fixed point problems for an infinite family of asymptotically nonexpansive mappings

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