The Almost Fixed Point Property for Nonexpansive Mappings

DOI10.2307/2045107zbMath0523.47042OpenAlexW4252046830MaRDI QIDQ3673532

Simeon Reich

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2045107

zbMATH Keywords

uniformly convex Banach spacealmost fixed point property with respect to nonexpansive mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (20)

The asymptotic behavior of nonlinear semigroups and invariant means ⋮ The product property of the almost fixed point property for digital spaces ⋮ Almost Fixed Point Theorems ⋮ Reflexivity is equivalent to the perturbed fixed point property for cascading nonexpansive maps in Banach lattices ⋮ The approximate fixed point property in product spaces ⋮ On the asymptotics of (c)-mapping iterations ⋮ Some questions in metric fixed point theory, by A. W. Kirk, revisited ⋮ Linearly and directionally bounded weak-star closed sets and the AFPP ⋮ Approximate fixed points of nonexpansive mappings in unbounded sets ⋮ Reflexivity is equivalent to stability of the almost fixed point property ⋮ ``Lion-man game and the fixed point property in Hilbert spaces ⋮ Separable Lindenstrauss spaces whose duals do not contain weak* closed convex unbounded sets having the AFPP ⋮ The approximate fixed point property in Banach and hyperbolic spaces ⋮ The almost fixed point property is not invariant under isometric renormings ⋮ Bruck formula for a perturbed Lipschitzian iteration of Lipschitz pseudocontractive maps ⋮ The fixed point property and unbounded sets in CAT(0) spaces ⋮ Digital Space-Type Fixed Point Theory and Its Applications ⋮ Geodesic rays, the ``lion-man game, and the fixed point property ⋮ The failure of the fixed point property for unbounded sets in 𝑐₀ ⋮ Some characterizations of Reich and Chatterjea type nonexpansive mappings

Cites Work

• On the asymptotic behavior of nonlinear semigroups and the range of accretive operators
• Asymptotic behavior of nonexpansive mappings in normed linear spaces
• On the asymptotic behavior of nonlinear semigroups and the range of accretive operators. II
• On fixed point theorems obtained from existence theorems for differential equations
• The Fixed Point Property and Unbounded Sets in Hilbert Space
• A Fixed Point Free Nonexpansive Map
• The Fixed Point Property for Non-Expansive Mappings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Almost Fixed Point Property for Nonexpansive Mappings