Convergence theorem for \(I\)-asymptotically quasi-nonexpansive mapping in Hilbert space

DOI10.1016/j.jmaa.2006.07.004zbMath1153.47309OpenAlexW1989826974MaRDI QIDQ1001236

Seyit Temir, Ozlem Gul

Publication date: 17 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.004

zbMATH Keywords

asymptotic centerasymptotically quasi-nonexpansive mappingnonlinear ergodic theorems

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (13)

A one-step implicit iterative process for a finite family of \(I\)-nonexpansive mappings in Kohlenbach hyperbolic spaces ⋮ A new iterative process for approximating common fixed points of nonself \(I\)-asymptotically quasi-nonexpansive mappings ⋮ On unification of the strong convergence theorems for a finite family of total asymptotically nonexpansive mappings in Banach spaces ⋮ Fixed points of a finite family of I-asymptotically quasi-nonexpansive mappings in a convex metric space ⋮ Convergence theorems for \(I\)-nonexpansive mapping ⋮ WEAK CONVERGENCE OF AN IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR AN ASYMPTOTICALLY QUASI I-NONEXPANSIVE MAPPING IN BANACH SPACES ⋮ Some convergence theorems of non-implicit iteration process with errors for a finite families of \(I\)-asymptotically nonexpansive mappings ⋮ Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in Banach space ⋮ Weak and strong convergence theorems for a finite family of \(I\)-asymptotically nonexpansive mappings ⋮ Convergence of general algorithm for \(I\)-generalized asymptotically nonexpansive nonself-mappings in uniformly convex hyperbolic spaces ⋮ On the convergence theorems of implicit iteration process for a finite family of \(I\)-asymptotically nonexpansive mappings ⋮ Unnamed Item ⋮ A New Hybrid Iteration Method forI-Asymptotically Nonexpansive Mappings

Cites Work

• Unnamed Item
• Convergence of Ishikawa iterates of quasi-nonexpansive mappings
• Nonlinear mean ergodic theorems
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• GENERALIZED I-NONEXPANSIVE MAPS AND BEST APPROXIMATIONS IN BANACH SPACES
• On the Set of Subsequential Limit Points of Successive Approximations
• On the Mann Iterative Process
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Iterative sequences for asymptotically quasi-nonexpansive mappings.

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