Strong convergence theorems for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups

DOI10.1155/FPTA/2006/96215zbMath1143.47307MaRDI QIDQ2427444

Xiaolong Qin, Yongfu Su

Publication date: 13 May 2008

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

Full work available at URL: https://eudml.org/doc/54433

zbMATH Keywords

strong convergenceasymptotically nonexpansive semigroupsmodified Halpern iterative scheme

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 to common fixed points for countable families of asymptotically nonexpansive mappings and semigroups ⋮ Regularized and inertial algorithms for common fixed points of nonlinear operators ⋮ COMMON FIXED POINTS OF A PAIR OF NON-EXPANSIVE MAPPINGS WITH APPLICATIONS TO CONVEX FEASIBILITY PROBLEMS ⋮ On the convergence of hybrid projection algorithms for asymptotically quasi-\(\phi\)-nonexpansive mappings ⋮ Hybrid projection algorithms for asymptotically strict quasi-\(\varphi\)-pseudocontractions ⋮ On hybrid projection methods for asymptotically quasi-\(\phi\)-nonexpansive mappings ⋮ Some results on a modified Mann iterative scheme in a reflexive Banach space ⋮ Convergence theorems of common fixed points for pseudocontractive mappings ⋮ Convergence theorems of common fixed points for a family of Lipschitz quasi-pseudocontractions

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