Convergence Theorems for Mappings Which Are Asymptotically Nonexpansive in the Intermediate Sense
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Publication:3157827
DOI10.1081/NFA-120039611zbMath1061.47048OpenAlexW2021114891MaRDI QIDQ3157827
Naseer Shahzad, Charles E. Chidume, Habtu Zegeye
Publication date: 19 January 2005
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/nfa-120039611
Banach spaceKadec--Klee propertyasymptotically nonexpansive operatorfixed point modulus of convexity
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
- Unnamed Item
- Iterative construction of fixed points of asymptotically nonexpansive mappings
- A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
- Nonlinear ergodic theorems for asymptotically nonexpansive mappings in Banach spaces satisfying Opial's condition
- Geometry of Banach spaces. Selected topics
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Fixed point iterations for certain nonlinear mappings
- Weak convergence theorems for asymptotically nonexpansive mappings and semigroups
- Mann and Ishikawa iterations with errors for non-Lipschitzian mappings in Banach spaces
- Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
- Weak convergence of almost orbits of asymptotically nonexpansive commutative semigroups
- Strong and weak convergence theorems for asymptotically nonexpansive mappings.
- A mean ergodic theorem for mappings which are asymptotically nonexpansive in the intermediate sense.
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- Inequalities in Banach spaces with applications
- Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
- A nonlinear ergodic theorem for asymptotically nonexpansive mappings
- An ergodic theorem for asymptotically nonexpansive mappings in the intermediate sense
- Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings