Wijsman convergence of convex sets under renorming

DOI10.1016/0362-546X(94)90034-5zbMath0815.46010MaRDI QIDQ4291617

Gerald A. Beer

Publication date: 25 June 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

reflexiveMosco convergence in nonreflexive spacesstrongly separable dualtopology of Mosco convergenceWijsman topologies

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (16)

Stability of the geometric Ekeland variational principle: Convex case ⋮ Wijsman convergence: A survey ⋮ Multivalued strong laws of large numbers in the slice topology. Application to integrands ⋮ A multivalued strong law of large numbers ⋮ Further arguments for slice convergence in nonreflexive spaces ⋮ Unnamed Item ⋮ Gap topologies in metric spaces ⋮ Oscillation revisited ⋮ Strong laws of large numbers for double arrays of blockwise \(M\)-dependent random sets ⋮ Multidimensional and multivalued ergodic theorems for measure-preserving transformations ⋮ On the convergence of subdifferentials of convex functions ⋮ Approximations, expansions and univalued representations of multifunctions ⋮ Attouch-Wets Convergence and a Differential Operator for Convex Functions ⋮ Unnamed Item ⋮ Metrics that generate the same hyperspace convergence ⋮ Convergence of epigraphs and of sublevel sets

Cites Work

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• On the convergence of subdifferentials of convex functions
• Convergence of best approximations in a smooth Banach space
• On convergence of convex sets and relative Chebyshev centers
• Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions
• An embedding theorem for the Fell topology
• Convergence of continuous linear functionals and their level sets
• The topology of the \(\rho\)-Hausdorff distance
• Distance functionals and suprema of hyperspace topologies
• Convex functions, monotone operators and differentiability
• Geometry of Banach spaces. Selected topics
• Convergence of convex sets and of solutions of variational inequalities
• A course on optimization and best approximation
• On the continuity of the Young-Fenchel transform
• A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
• Support and distance functionals for convex sets
• On Mosco convergence of convex sets
• Mosco Convergence and the Kadec Property
• Uniform Continuity on Bounded Sets and the Attouch-Wets Topology
• A Polish Topology for the Closed Subsets of a Polish Space
• Quantitative Stability of Variational Systems: I. The Epigraphical Distance
• Mosco convergence and weak topologies for convex sets and functions
• The slice topology: a viable alternative to mosco convergence in nonreflexive spaces
• Weak Topologies for the Closed Subsets of a Metrizable Space
• Convergence of Sequences of Convex Sets, Cones and Functions. II
• Topologies on Spaces of Subsets

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