Convergence to a common fixed point of a finite family of generalized asymptotically nonexpansive mappings
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Publication:745951
DOI10.1007/s40840-014-0099-4zbMath1326.47102OpenAlexW1986435563MaRDI QIDQ745951
Publication date: 15 October 2015
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-014-0099-4
strong convergencenonexpansive mappingsasymptotically nonexpansive mappingsgeneralized asymptotically nonexpansive mappings
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Unnamed Item
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- Approximation of common fixed points of family of asymptotically nonexpansive mappings
- Convergence theorems based on the shrinking projection method for hemi-relatively nonexpansive mappings, variational inequalities and equilibrium problems
- Strong convergence theorems for variational inequality problems and quasi-\(\phi\)-asymptotically nonexpansive mappings
- On the convergence of a parallel iterative algorithm for two finite families of uniformly \(L\)-Lipschitzian mappings
- A general iterative algorithm for nonexpansive mappings in Banach spaces
- Iterative construction of fixed points of asymptotically nonexpansive mappings
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- An iterative method for an infinite family of nonexpansive mappings in Hilbert spaces
- Strong convergence theorems for a finite family of nonexpansive mappings and semigroups via the hybrid method
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- An example concerning fixed points
- Fixed point iterations for certain nonlinear mappings
- Mann and Ishikawa iterations with errors for non-Lipschitzian mappings in Banach spaces
- Strong and weak convergence theorems for asymptotically nonexpansive mappings.
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Convergence theorems for multi-valued mappings
- Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps
- Convergence of Mann's type iteration method for generalized asymptotically nonexpansive mappings
- Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
- Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings
- A hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems in Banach spaces
- Convergence Theorems for Mappings Which Are Asymptotically Nonexpansive in the Intermediate Sense
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- Another control condition in an iterative method for nonexpansive mappings
- Fixed Points by a New Iteration Method
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
- Mean Value Methods in Iteration
- Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings