On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
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Publication:1159877
DOI10.1007/BF02762776zbMath0475.47037OpenAlexW2031835787MaRDI QIDQ1159877
Publication date: 1981
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02762776
Normed linear spaces and Banach spaces; Banach lattices (46B99) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Théorème de point fixe et d'approximation. (Fixed point and approximation theorem)
- A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
- On the almost-convergence of iterates of a nonexpansive mapping in Hilbert space and the structure of the weak \(\omega\)-limit set
- Almost convergence and nonlinear ergodic theorems
- Nonlinear evolution equations and nonlinear ergodic theorems
- Almost convergence of the infinite product of resolvents in Banach spaces
- On a Convexity Condition in Normed Linear Spaces