The slice topology: a viable alternative to mosco convergence in nonreflexive spaces
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Publication:4032196
DOI10.1016/0362-546X(92)90145-5zbMath0786.46006MaRDI QIDQ4032196
Publication date: 1 April 1993
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Convex sets in topological linear spaces; Choquet theory (46A55) Derivatives of functions in infinite-dimensional spaces (46G05)
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Stability of the geometric Ekeland variational principle: Convex case ⋮ Wijsman convergence: A survey ⋮ Swimming below icebergs ⋮ Stability of constrained optimization problems ⋮ Further arguments for slice convergence in nonreflexive spaces ⋮ Well-set and well-posed minimization problems ⋮ Some applications of Birkhoff-Kingman ergodic theorem ⋮ Wijsman convergence of convex sets under renorming ⋮ Subtangents with controlled slope ⋮ Gap topologies in metric spaces ⋮ Convergences of subgradients of sequences of convex functions ⋮ Regularisations of convex functions and slicewise suprema ⋮ Continuous selections and reflexive Banach spaces ⋮ Topologies related to the prox map and the restricted center map ⋮ Set Convergences. An Attempt of Classification ⋮ Efficiency and the uniform linear minorization of convex functions ⋮ On the convergence of subdifferentials of convex functions ⋮ A series of convex functions on a Banach space ⋮ Attouch-Wets Convergence and a Differential Operator for Convex Functions ⋮ Slice convergence of parametrised sums of convex functions in non-reflexive spaces ⋮ The Infimal Value Functional and the Uniformization of Hit-and-Miss Hyperspace Topologies ⋮ Characterizations of convex approximate subdifferential calculus in Banach spaces ⋮ Analyse de récession et résultats de stabilité d'une convergence variationnelle, application à la théorie de la dualité en programmation mathématique ⋮ Slice convergence: stabilité et optimisation dans les espaces non réflexifs ⋮ Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces
Cites Work
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- A note on epsilon-subgradients and maximal monotonicity
- 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
- Successive approximation and linear stability involving convergent sequences of optimization problems
- The topology of the \(\rho\)-Hausdorff distance
- Convex functions, monotone operators and differentiability
- On the relations between two types of convergence for convex functions
- Three characterizations of the Mosco topology for convex functions
- The Prox map
- Une famille de topologies sur l'ensemble des fonctions convexes pour lesquelles la polarite est bicontinue
- 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
- 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
- Infima of Convex Functions
- The Cosmic Hausdorff Topology, the Bounded Hausdorff Topology and Continuity of Polarity
- 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 EPI-Distance Topology: Continuity and Stability Results with Applications to Convex Optimization Problems
- Mosco Convergence and Reflexivity
- Convex Optimization and the Epi-Distance Topology
- Conjugate Convex Functions and the Epi-Distance Topology
- Convergence of Sequences of Convex Sets, Cones and Functions. II
- Operations on convergent families of sets and functions
- Topologies on Spaces of Subsets
