Strong convergence theorems for generalized asymptotically quasi-nonexpansive mappings

DOI10.1007/s12190-008-0156-yzbMath1222.47131OpenAlexW2017051290MaRDI QIDQ1031994

Guangxuan Liu, Jing Zhao, Songnian He

Publication date: 23 October 2009

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0156-y

zbMATH Keywords

strong convergencecommon fixed pointgeneralized asymptotically quasi-nonexpansive mappingimplicit iterative method

Mathematics Subject Classification ID

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

Related Items

Viscosity approximation method for generalized asymptotically quasi-nonexpansive mappings in a convex metric space, On unification of the strong convergence theorems for a finite family of total asymptotically nonexpansive mappings in Banach spaces

Cites Work

• Weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in Banach spaces
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• Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Inequalities in Banach spaces with applications
• CONVERGENCE OF IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings