A new approximation method for common fixed points of a finite family of generalized asymptotically quasinonexpansive mappings in Banach spaces

DOI10.1155/2010/706587zbMath1206.47092OpenAlexW2095337018WikidataQ58649907 ScholiaQ58649907MaRDI QIDQ610877

Pornsak Yatakoat, Suthep Suantai

Publication date: 13 December 2010

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

Full work available at URL: https://eudml.org/doc/222699

zbMATH Keywords

Banach spacesstrong convergencegeneralized asymptotically quasinonexpansive mappings

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
• Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
• Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications
• Strong convergence theorems for finitely many nonexpansive mappings and applications
• Approximation of common fixed points of families of nonexpansive mappings
• Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings
• The viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces
• A note on ``Common fixed point of multistep noor iteration with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings
• Common fixed points of multistep Noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings.
• Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces
• Approximating common fixed points of asymptotically nonexpansive maps in uniformly convex Banach spaces
• Approximation methods for common fixed points of infinite countable family of nonexpansive mappings
• Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps
• Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
• Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
• Strong convergence theorems of Ishikawa iteration process with errors for fixed points of Lipschitz continuous mappings in Banach spaces
• Stability of iterative procedures with errors for approximating common fixed points of a couple of \(q\)-contractive-like mappings in Banach spaces
• Convergence criteria of modified Noor iterations with errors for asymptotically nonexpansive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Strong Convergence of an Iterative Method with Perturbed Mappings for Nonexpansive and Accretive Operators
• Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
• Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces

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