Rigidity properties of nonexpansive mappings
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Publication:3811242
DOI10.1016/0362-546X(87)90107-6zbMath0662.47029OpenAlexW2000967831MaRDI QIDQ3811242
Publication date: 1987
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(87)90107-6
metric projectionscontractive linear projectionsexistence questions for nonexpansive retraction maps onto linear subspaces of Banach spacesKorovkin shadowsKorovkin type convergence theorems
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Constricted systems ⋮ Hyperconvexity and approximate fixed points ⋮ Norm-one projections onto subspaces of finite codimension in \(\ell_ 1\) and \(c_ 0\)
Cites Work
- Extension of uniformly continuous transformations and hyperconvex metric spaces
- On Jung's constant and related constants in normed linear spaces
- Contractive Korovkin approximations
- Sequences of contractions on L\(^1\)-spaces
- Contractive projections on an \(L_ 1\) space
- Convergence of operators and Korovkin's theorem
- Smoothness of approximation
- Common fixed points for commuting contraction mappings
- On nonlinear projections in Banach spaces
- Projecting onto cycles in smooth, reflexive Banach spaces
- Theorems of Korovkin type for adapted spaces
- Projections in certain Banach spaces
- A survey of metric selections
- Some Relations Between Nonexpansive and Order Preserving Mappings
- A Fixed Point Free Nonexpansive Map
- Nonexpansive retracts of Banach spaces
- Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
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