Hyperconvexity and approximate fixed points
From MaRDI portal
Publication:3469890
DOI10.1016/0362-546X(89)90079-5zbMath0694.54033OpenAlexW2074072280MaRDI QIDQ3469890
Publication date: 1989
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(89)90079-5
Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory ⋮ Weakly externally hyperconvex subsets and hyperconvex gluings ⋮ Extension and selection theorems in topological spaces with a generalized convexity structure ⋮ Some characterizations of ultrametrically injective spaces ⋮ Coincidences and fixed points in locally G-convex spaces ⋮ The Generic Stability of Fixed Points for Upper Semicontinuous Mappings in Hyperconvex Metric Spaces ⋮ Retractions on the fixed point set of semigroups of nonexpansive maps in hyperconvex spaces ⋮ On some properties of hyperconvex spaces ⋮ Diversities, hyperconvexity and fixed points ⋮ Hyperconvexity and Nonexpansive Multifunctions ⋮ Convex sets which are intersections of closed balls ⋮ Weak KKM set-valued mappings in hyperconvex metric spaces ⋮ Metric fixed point theory on hyperconvex spaces: recent progress ⋮ Set-valued contractions and fixed points ⋮ Ball intersection properties in metric spaces ⋮ An approximate fixed point property ⋮ Topological convexities, selections and fixed points ⋮ Michael selection problem in hyperconvex metric spaces ⋮ Common fixed points for commuting mappings in hyperconvex spaces ⋮ Common fixed points of set-valued mappings in hyperconvex metric spaces ⋮ \(q\)-hyperconvexity in quasipseudometric spaces and fixed point theorems ⋮ On the fixed points of commuting nonexpansive maps in hyperconvex spaces ⋮ Some applications of the Knaster-Kuratowski and Mazurkiewicz principle in hyperconvex metric spaces ⋮ On best approximations in hyperconvex spaces ⋮ Best approximation, coincidence and fixed point theorems for quasi-lower semicontinuous set-valued maps in hyperconvex metric spaces ⋮ Proximinal Retracts and Best Proximity Pair Theorems ⋮ Best proximity pairs for upper semicontinuous set-valued maps in hyperconvex metric spaces ⋮ Coincidence point, best approximation, and best proximity theorems for condensing set-valued maps in hyperconvex metric spaces ⋮ Continuous mappings in compact hyperconvex metric spaces ⋮ Abstract convexity and fixed points ⋮ Hyperconvex spaces revisited ⋮ When separability of the space of ultra-extremal functions is preserved ⋮ Some Nonlinear Problems in Hyperconvex Metric Spaces ⋮ On Continuous Selection Problems for Multivalued Mappings with the Local Intersection Property in Hyperconvex Metric Spaces ⋮ Best proximity points for relatively \(u\)-continuous mappings in Banach and hyperconvex spaces ⋮ Hyperbolic spaces and directional contractions ⋮ Existence and data dependence of fixed points for multivalued operators on gauge spaces ⋮ Lambda-hyperconvexity in metric spaces ⋮ Nonexpansive retractions in hyperconvex spaces ⋮ Fixed point theorems of upper semicontinuous multivalued mappings with applications in hyperconvex metric spaces ⋮ Fixed point and selection theorems in hyperconvex spaces ⋮ Fixed points of upper semicontinuous mappings in locally G-convex spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extension of uniformly continuous transformations and hyperconvex metric spaces
- On the fixed point set of nonexpansive order preserving maps
- Six theorems about injective metric spaces
- Asymptotic behavior of nonexpansive mappings
- Rigidity properties of nonexpansive mappings
- On nonlinear contraction semigroups in sup norm spaces
- Existence of Fixed Points of Nonexpansive Mappings in Certain Banach Lattices
- Fixed point theory for nonexpansive mappings. II
