Convergence analysis of a multi-step iteration for a finite family of asymptotically quasi-nonexpansive mappings

DOI10.1186/1029-242X-2013-423zbMath1364.47028WikidataQ59298910 ScholiaQ59298910MaRDI QIDQ2017033

Muhammad Aqeel Ahmad Khan

Publication date: 25 June 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

strong convergenceasymptotically nonexpansive mappinghyperbolic spacecommon fixed point\(\triangle\)-convergencemodulus of uniform convexityKuhfittig iteration

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces
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• A quadratic rate of asymptotic regularity for CAT(0)-spaces
• A concept of convergence in geodesic spaces
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• Strong convergence theorems for common fixed points of multistep iterations with errors in Banach spaces
• Common fixed points of nonexpansive mappings by iteration
• Approximating common fixed points of asymptotically nonexpansive maps in uniformly convex Banach spaces
• On the strong and \(\triangle\)-convergence of SP-iteration on CAT(0) space
• Bounds on Kuhfittig's iteration schema in uniformly convex hyperbolic spaces
• Convergence theorems for finite families of asymptotically quasi-nonexpansive mappings
• Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
• Nonexpansive iterations in hyperbolic spaces
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Finding common fixed points of nonexpansive mappings by iteration
• Some logical metatheorems with applications in functional analysis
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings

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