Weak and strong convergence theorems for finite families of asymptotically quasi-nonexpansive mappings in Banach spaces

DOI10.1155/2014/275607zbMath1428.47023OpenAlexW2044153935WikidataQ59037487 ScholiaQ59037487MaRDI QIDQ1723737

Lei Deng, Juan Xiao

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/275607

zbMATH Keywords

Banach spacesstrong convergenceweak convergencefinite families of asymptotically quasi-nonexpansive mappingsfinite-step iteration sequence

Mathematics Subject Classification ID

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

Cites Work

• Weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in Banach spaces
• On Reich's strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
• Strong and weak convergence theorems for asymptotically nonexpansive mappings.
• The equivalence between Mann-Ishikawa iterations and multistep iteration
• Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
• Weak and strong convergence criteria of Noor iterations for asymptotically 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
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings

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