Existence of Fixed Points of Nonexpansive Mappings in Certain Banach Lattices
From MaRDI portal
Publication:4147165
DOI10.2307/2042874zbMath0371.47048OpenAlexW4247315923MaRDI QIDQ4147165
Publication date: 1979
Full work available at URL: https://doi.org/10.2307/2042874
Normed linear spaces and Banach spaces; Banach lattices (46B99) Fixed-point theorems (47H10) Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological linear spaces, vector lattices (46A40)
Related Items
Extension of compact mappings and \(\aleph_0\)-hyperconvexity ⋮ Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory ⋮ Coincidences and fixed points in locally G-convex spaces ⋮ Retractions on the fixed point set of semigroups of nonexpansive maps in hyperconvex spaces ⋮ The Weak* Karlovitz lemma for dual lattices ⋮ Diversities, hyperconvexity and fixed points ⋮ Fixed points, selections and best approximation for multivalued mappings in \(R\)-trees ⋮ Hyperconvexity and approximate fixed points ⋮ Hyperconvexity and Nonexpansive Multifunctions ⋮ On the fixed point set of nonexpansive order preserving maps ⋮ Sets with Fixed Point Property for Isometric Mappings ⋮ (Fuzzy) fixed point property in L-underdeterminate sets ⋮ On externally complete subsets and common fixed points in partially ordered sets ⋮ The nonexpansive and mean nonexpansive fixed point properties are equivalent for affine mappings ⋮ Fixed points of nonexpansive mappings ⋮ Categorical studies of fuzzy sets ⋮ On a connection between the fixed point property and \(L^{\infty}(\Omega,\Sigma,\mu)\) ⋮ A convergence result on random products of mappings in metric trees ⋮ Solvability of nonlinear Volterra and Fredholm equations in weighted spaces ⋮ Metric fixed point theory on hyperconvex spaces: recent progress ⋮ Generalized metric spaces: a survey ⋮ Fixed points and common fixed points for orbit-nonexpansive mappings in metric spaces ⋮ Zeros of m-accretive operators in Banach spaces ⋮ Hölder-contractive mappings, nonlinear extension problem and fixed point free results ⋮ A fixed-point characterization of weakly compact sets in \(L_1(\mu)\) spaces ⋮ Banach operator pairs and common fixed points in hyperconvex metric spaces ⋮ One-local retracts and Banach operator pairs in metric spaces ⋮ Isbell convexity in fuzzy quasi-metric spaces ⋮ Comments on some fixed point theorems in hyperconvex metric spaces. ⋮ A semi-Lagrangian scheme for the game \(p\)-Laplacian via \(p\)-averaging ⋮ The distributional Henstock-Kurzweil integral and applications II ⋮ Common fixed points of set-valued mappings in hyperconvex metric spaces ⋮ Normal structure and orbital fixed point conditions ⋮ \(q\)-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 some fixed-point theorems for generalized contractions and their perturbations ⋮ On nonlinear contraction semigroups in sup norm spaces ⋮ On fixed point theorems of Leray–Schauder type ⋮ New examples of subsets of \(c\) with the FPP and stability of the FPP in hyperconvex spaces ⋮ Uniformly Lipschitzian group actions on hyperconvex spaces ⋮ Hyperconvex spaces revisited ⋮ A fixed point theorem for commuting families of relational homomorphisms. Applications to metric spaces, ordered sets and oriented graphs ⋮ Weak compactness is equivalent to the fixed point property in $c_0$ ⋮ Basis selection and fixed point results for affine mappings ⋮ Nonexpansive mappings in metric and Banach spaces ⋮ The characterization of generalized metric KKM mappings with open values in hyperconvex metric spaces and some applications ⋮ 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 ⋮ Weak compactness is not equivalent to the fixed point property in \(c\) ⋮ Sadovskii's fixed point theorem without convexity
Cites Work
This page was built for publication: Existence of Fixed Points of Nonexpansive Mappings in Certain Banach Lattices
