Mosco Convergence and Reflexivity
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Publication:4712675
DOI10.2307/2048005zbMath0763.46006OpenAlexW4255651679MaRDI QIDQ4712675
Jonathan M. Borwein, Gerald A. Beer
Publication date: 25 June 1992
Full work available at URL: https://doi.org/10.2307/2048005
Convex programming (90C25) Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Geometry and structure of normed linear spaces (46B20) Methods involving semicontinuity and convergence; relaxation (49J45) Duality and reflexivity in normed linear and Banach spaces (46B10)
Related Items (24)
Well-posed optimization problems and a new topology for the closed subsets of a metric space ⋮ Wijsman convergence: A survey ⋮ The Joly topology and the Mosco-Beer topology revisited ⋮ Mosco convergence and weak topologies for convex sets and functions ⋮ On a new class of differential variational inequalities and a stability result ⋮ The Wijsman and Attouch-Wets topologies on hyperspaces revisited ⋮ Three-field modelling of nonlinear nonsmooth boundary value problems and stability of differential mixed variational inequalities ⋮ A second look at set convergence and linear analysis ⋮ Unnamed Item ⋮ The slice topology: a viable alternative to mosco convergence in nonreflexive spaces ⋮ A rigorous derivation of the functional renormalisation group equation ⋮ Set Convergences. An Attempt of Classification ⋮ Multidimensional and multivalued ergodic theorems for measure-preserving transformations ⋮ Scalar convergence of convex sets ⋮ On the convergence of subdifferentials of convex functions ⋮ A series of convex functions on a Banach space ⋮ Slice convergence of parametrised sums of convex functions in non-reflexive spaces ⋮ A Characterization of Epi-Convergence in Terms of Convergence of Level Sets ⋮ Mosco convergence in locally convex spaces ⋮ Weak Topologies for the Closed Subsets of a Metrizable Space ⋮ Slice convergence: stabilité et optimisation dans les espaces non réflexifs ⋮ Convergence of nonmonotone sequences of sub-\(\sigma\)-fields and convergence of associated subspaces \(L^p(\mathcal B_n)\) (\(p\in[1,+\infty\))] ⋮ A second look at set convergence and linear analysis ⋮ Uniform Continuity on Bounded Sets and the Attouch-Wets Topology
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- On the continuity of the Young-Fenchel transform
- On the Young-Fenchel Transform for Convex Functions
- Support and distance functionals for convex sets
- On Mosco convergence of convex sets
- Mosco Convergence and the Kadec Property
- Conjugate Convex Functions and the Epi-Distance Topology
- Convergence of Sequences of Convex Sets, Cones and Functions. II
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